Pith Number

pith:BOI3PVKH

pith:2014:BOI3PVKHSF2AWGMOH3NQNBCMJW

not attested not anchored not stored refs pending

Lojasiewicz inequalities and applications

Tobias Holck Colding, William P. Minicozzi II

arxiv:1402.5087 v3 · 2014-02-20 · math.DG · math.AG · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOI3PVKHSF2AWGMOH3NQNBCMJW}

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	2026-05-18T02:26:12.963193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b91b7d54791740b198e3edb06844c4d8e8be0932cff9a04feecf80ec0ff5835

Aliases

arxiv: 1402.5087 · arxiv_version: 1402.5087v3 · doi: 10.48550/arxiv.1402.5087 · pith_short_12: BOI3PVKHSF2A · pith_short_16: BOI3PVKHSF2AWGMO · pith_short_8: BOI3PVKH

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/BOI3PVKHSF2AWGMOH3NQNBCMJW \
  | 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: 0b91b7d54791740b198e3edb06844c4d8e8be0932cff9a04feecf80ec0ff5835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f723b4ba2f39bd1c5ed4cd28d8c81d6a162ce83b81552596374d58c28b34aa",
    "cross_cats_sorted": [
      "math.AG",
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-20T17:40:27Z",
    "title_canon_sha256": "00521408ab2f8416f1641f7a69e1c30d3a1afd9b5c1746a727cadb0eb2e9fd03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5087",
    "kind": "arxiv",
    "version": 3
  }
}