Pith Number

pith:AUW4YJG5

pith:2012:AUW4YJG55JWEL4ZEXCLFWVDWE4

not attested not anchored not stored refs pending

Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations

Ardavan Mokhtary, Mehdi Nadjafikhah

arxiv:1212.3605 v1 · 2012-12-14 · math.AP · math-ph · math.DG · 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{AUW4YJG55JWEL4ZEXCLFWVDWE4}

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	2026-05-18T02:46:13.239215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052dcc24ddea6c45f324b8965b54762712e59989a94985d45b1ea5e088ab9e7d

Aliases

arxiv: 1212.3605 · arxiv_version: 1212.3605v1 · doi: 10.48550/arxiv.1212.3605 · pith_short_12: AUW4YJG55JWE · pith_short_16: AUW4YJG55JWEL4ZE · pith_short_8: AUW4YJG5

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/AUW4YJG55JWEL4ZEXCLFWVDWE4 \
  | 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: 052dcc24ddea6c45f324b8965b54762712e59989a94985d45b1ea5e088ab9e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebd0c0b09b69af4c3d6ce1e258b371dc4bb0f941f4af2cf1149344143b294ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-14T17:36:15Z",
    "title_canon_sha256": "e9d9cc911526c178042afd5ee059fccfdcfe439ef46ffbf078e1e8a957f88567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3605",
    "kind": "arxiv",
    "version": 1
  }
}