Pith Number

pith:FNIIWYVH

pith:2000:FNIIWYVHX524B56CNG5OGREAFV

not attested not anchored not stored refs pending

A geometric proof of the existence of Whitney stratifications

Vadim Kaloshin (American Institute of Mathematics)

arxiv:math/0010144 v1 · 2000-10-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNIIWYVHX524B56CNG5OGREAFV}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:52.064518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b508b62a7bf75c0f7c269bae344802d641dfd2cad286e2f3da9643da5b0246a

Aliases

arxiv: math/0010144 · arxiv_version: math/0010144v1 · doi: 10.48550/arxiv.math/0010144 · pith_short_12: FNIIWYVHX524 · pith_short_16: FNIIWYVHX524B56C · pith_short_8: FNIIWYVH

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/FNIIWYVHX524B56CNG5OGREAFV \
  | 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: 2b508b62a7bf75c0f7c269bae344802d641dfd2cad286e2f3da9643da5b0246a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75df55974330dfbc4be91a902d8ee02bd6ac8f4be3fb6e405f1a637338d61cbd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-10-13T22:23:32Z",
    "title_canon_sha256": "abd9e00d8b6dd07369bed00fdffbb9f9680b6a8274d2cbab55580ef13aa10bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010144",
    "kind": "arxiv",
    "version": 1
  }
}