Pith Number

pith:ZT2U6A7B

pith:2012:ZT2U6A7BVBWYIJDDUPELKEXRU6

not attested not anchored not stored refs pending

Geometric study of Gardner equation

Ardavan Mokhtary, Mehdi Nadjafikhah

arxiv:1212.3604 v2 · 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{ZT2U6A7BVBWYIJDDUPELKEXRU6}

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	2026-05-18T00:34:45.252770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf54f03e1a86d842463a3c8b512f1a783c0ae3fbed4b6829eb53843e6252c35

Aliases

arxiv: 1212.3604 · arxiv_version: 1212.3604v2 · doi: 10.48550/arxiv.1212.3604 · pith_short_12: ZT2U6A7BVBWY · pith_short_16: ZT2U6A7BVBWYIJDD · pith_short_8: ZT2U6A7B

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/ZT2U6A7BVBWYIJDDUPELKEXRU6 \
  | 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: ccf54f03e1a86d842463a3c8b512f1a783c0ae3fbed4b6829eb53843e6252c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08175c27a8627b7d352d0b82b6066caf49d34b340b58153d3d2e9c8383ff42e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-14T17:35:38Z",
    "title_canon_sha256": "5ef3f48404476db2c9df0bd51f66f81bace487ec1960cc035a851309939d4539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3604",
    "kind": "arxiv",
    "version": 2
  }
}