Pith Number

pith:35JAQHPN

pith:2012:35JAQHPN65EZFT67ORWDAAMG4N

not attested not anchored not stored refs pending

Methods of infinite dimensional Morse theory for geodesics on Finsler manifolds

Guangcun Lu

arxiv:1212.2078 v7 · 2012-12-10 · math.DG · math.FA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35JAQHPN65EZFT67ORWDAAMG4N}

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	2026-05-18T02:37:52.235051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df52081dedf74992cfdf746c300186e368e1af3b226eb5acfbb67e3a12dba40c

Aliases

arxiv: 1212.2078 · arxiv_version: 1212.2078v7 · doi: 10.48550/arxiv.1212.2078 · pith_short_12: 35JAQHPN65EZ · pith_short_16: 35JAQHPN65EZFT67 · pith_short_8: 35JAQHPN

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/35JAQHPN65EZFT67ORWDAAMG4N \
  | 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: df52081dedf74992cfdf746c300186e368e1af3b226eb5acfbb67e3a12dba40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17846ca74867241c4470545fe6798276716794a6adf825d622cf41fb00ee006",
    "cross_cats_sorted": [
      "math.FA",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-10T14:29:04Z",
    "title_canon_sha256": "595c19ecfc290ab63674595a3f1591eed9c23a5535d4646a3ee97e0defca0b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2078",
    "kind": "arxiv",
    "version": 7
  }
}