Pith Number

pith:TUXXDFQ3

pith:2025:TUXXDFQ3HM7S77T2GGGHNFKEGN

not attested not anchored not stored refs pending

On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs

Amit Acharya, Dmitry Vorotnikov

arxiv:2512.12878 v3 · 2025-12-14 · math.AP · cs.NA · math.NA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUXXDFQ3HM7S77T2GGGHNFKEGN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials

Receipt and verification

First computed	2026-07-23T01:24:19.111310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2f71961b3b3f2ffe7a318c7695443347c121d155ae407077ac1e677d2d972d

Aliases

arxiv: 2512.12878 · arxiv_version: 2512.12878v3 · doi: 10.48550/arxiv.2512.12878 · pith_short_12: TUXXDFQ3HM7S · pith_short_16: TUXXDFQ3HM7S77T2 · pith_short_8: TUXXDFQ3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TUXXDFQ3HM7S77T2GGGHNFKEGN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9d2f71961b3b3f2ffe7a318c7695443347c121d155ae407077ac1e677d2d972d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461bb3bc39b110f969e017c3b8b8375e6aa10174fde9a05f8f5579d5a14de9fa",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-14T23:28:40Z",
    "title_canon_sha256": "6cb96c76c70055e1d96073327ddce5ae755acd5fcb2a0116bb20e7243ee984a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12878",
    "kind": "arxiv",
    "version": 3
  }
}