Pith Number

pith:5PA3AMHB

pith:2012:5PA3AMHBJQ62YUQHC7XCUHNUTC

not attested not anchored not stored refs pending

Small time heat kernel asymptotics at the sub-Riemannian cut locus

Davide Barilari, Robert W. Neel, Ugo Boscain

arxiv:1201.3023 v3 · 2012-01-14 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PA3AMHBJQ62YUQHC7XCUHNUTC}

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	2026-05-18T03:39:53.108930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc1b030e14c3dac520717ee2a1db498a018b4fd37c1988c9085c0f350d8d6ad

Aliases

arxiv: 1201.3023 · arxiv_version: 1201.3023v3 · doi: 10.48550/arxiv.1201.3023 · pith_short_12: 5PA3AMHBJQ62 · pith_short_16: 5PA3AMHBJQ62YUQH · pith_short_8: 5PA3AMHB

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/5PA3AMHBJQ62YUQHC7XCUHNUTC \
  | 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: ebc1b030e14c3dac520717ee2a1db498a018b4fd37c1988c9085c0f350d8d6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa708d00de52ec2afae7724160a385a0938eaf9454859c84b6cace9290dbd5f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-14T14:53:17Z",
    "title_canon_sha256": "4404d02adb8be4a7c9d7b57e753502629677f1ae62d045a75ddb5db85a8be485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3023",
    "kind": "arxiv",
    "version": 3
  }
}