Pith Number

pith:HF2XNPBY

pith:2011:HF2XNPBYYQHIXWR6FPY2RRMDEK

not attested not anchored not stored refs pending

Generalized evolutionary equations with imposed symmetries

Radu Constantinescu, Rodica Cimpoiasu

arxiv:1111.1456 v1 · 2011-11-06 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HF2XNPBYYQHIXWR6FPY2RRMDEK}

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	2026-05-18T01:59:44.682981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397576bc38c40e8bda3e2bf1a8c583229656ecf52bbfd57e319fc3d04e7901ee

Aliases

arxiv: 1111.1456 · arxiv_version: 1111.1456v1 · doi: 10.48550/arxiv.1111.1456 · pith_short_12: HF2XNPBYYQHI · pith_short_16: HF2XNPBYYQHIXWR6 · pith_short_8: HF2XNPBY

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/HF2XNPBYYQHIXWR6FPY2RRMDEK \
  | 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: 397576bc38c40e8bda3e2bf1a8c583229656ecf52bbfd57e319fc3d04e7901ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c37a9d3cbac7d2bbdc0affb651ab3f1047a9cd8357a669f0defb19efefe1005",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-06T22:29:47Z",
    "title_canon_sha256": "3bd2b4a2c515eebafe6b68de4ff31949c336c0a2e8b9a7a697bd02b312ac1092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1456",
    "kind": "arxiv",
    "version": 1
  }
}