Pith Number

pith:MB5VPNG4

pith:2016:MB5VPNG4ZHFPP72BVOFQAWZ53Y

not attested not anchored not stored refs pending

A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations

Stefano Melchionna

arxiv:1611.01997 v1 · 2016-11-07 · 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{MB5VPNG4ZHFPP72BVOFQAWZ53Y}

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	2026-05-18T01:00:03.997918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607b57b4dcc9caf7ff41ab8b005b3dde1ca53f5a41504deb7cfc7b1ff67d4fdb

Aliases

arxiv: 1611.01997 · arxiv_version: 1611.01997v1 · doi: 10.48550/arxiv.1611.01997 · pith_short_12: MB5VPNG4ZHFP · pith_short_16: MB5VPNG4ZHFPP72B · pith_short_8: MB5VPNG4

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/MB5VPNG4ZHFPP72BVOFQAWZ53Y \
  | 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: 607b57b4dcc9caf7ff41ab8b005b3dde1ca53f5a41504deb7cfc7b1ff67d4fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573c4fad46810280a5fc5ec145e16ee31eb994a0ec71410e41b735948260c495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-07T11:38:08Z",
    "title_canon_sha256": "afda9344c39f7d05f248f7d569c498449f18939ce0abbc8e68fc48a4c70875c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01997",
    "kind": "arxiv",
    "version": 1
  }
}