Pith Number

pith:OSHTO5H2

pith:2000:OSHTO5H2GDSKEUT7Z7WSZ5VJGA

not attested not anchored not stored refs pending

From moment graphs to intersection cohomology

Robert MacPherson, Tom Braden

arxiv:math/0008200 v3 · 2000-08-25 · 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{OSHTO5H2GDSKEUT7Z7WSZ5VJGA}

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

Big data approach to Kazhdan-Lusztig polynomials

Receipt and verification

First computed	2026-07-04T14:34:40.117745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748f3774fa30e4a2527fcfed2cf6a9302b67b7d4810fe1c7583cb8370ad9cfb9

Aliases

arxiv: math/0008200 · arxiv_version: math/0008200v3 · doi: 10.48550/arxiv.math/0008200 · pith_short_12: OSHTO5H2GDSK · pith_short_16: OSHTO5H2GDSKEUT7 · pith_short_8: OSHTO5H2

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/OSHTO5H2GDSKEUT7Z7WSZ5VJGA \
  | 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: 748f3774fa30e4a2527fcfed2cf6a9302b67b7d4810fe1c7583cb8370ad9cfb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7406afdc0212f2730775f6f07e357ea328196b9d4884a8f81056eb1d1c79a61b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-08-25T19:42:11Z",
    "title_canon_sha256": "96a52e53c30df09ae62124b1eda2d47a80a8f78abe84bed0e2134450d67c2d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008200",
    "kind": "arxiv",
    "version": 3
  }
}