Pith Number

pith:QSRLZIWB

pith:2016:QSRLZIWBAX64DREJGDLJWFFU2C

not attested not anchored not stored refs pending

Nash-type equilibria on Riemannian manifolds: a variational approach

Alexandru Krist\'aly

arxiv:1602.04157 v1 · 2016-02-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSRLZIWBAX64DREJGDLJWFFU2C}

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.

Receipt and verification

First computed	2026-05-18T01:20:54.407206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a2bca2c105fdc1c48930d69b14b4d089d7e44a9ddc7784222fe93cb4a1d701

Aliases

arxiv: 1602.04157 · arxiv_version: 1602.04157v1 · doi: 10.48550/arxiv.1602.04157 · pith_short_12: QSRLZIWBAX64 · pith_short_16: QSRLZIWBAX64DREJ · pith_short_8: QSRLZIWB

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/QSRLZIWBAX64DREJGDLJWFFU2C \
  | 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: 84a2bca2c105fdc1c48930d69b14b4d089d7e44a9ddc7784222fe93cb4a1d701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67444d9513d669523e520d78b881c295891e898fdbf1a511afffe86341c4eb60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-12T19:03:18Z",
    "title_canon_sha256": "ff8e937c2a1a3e0eb8e9e06ab89f541665716224606864303677c93d5ccb2cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04157",
    "kind": "arxiv",
    "version": 1
  }
}