Pith Number

pith:2XJHB4PC

pith:2005:2XJHB4PC4N6MOREKBNU6FGOSQL

not attested not anchored not stored refs pending

An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson

Julianna S. Tymoczko

arxiv:math/0503369 v1 · 2005-03-17 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XJHB4PC4N6MOREKBNU6FGOSQL}

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

Divided difference operators for Hessenberg representations

Receipt and verification

First computed	2026-07-04T14:39:48.222224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d270f1e2e37cc7448a0b69e299d282c547a9b49958fa2430bc37b385c21794

Aliases

arxiv: math/0503369 · arxiv_version: math/0503369v1 · doi: 10.48550/arxiv.math/0503369 · pith_short_12: 2XJHB4PC4N6M · pith_short_16: 2XJHB4PC4N6MOREK · pith_short_8: 2XJHB4PC

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/2XJHB4PC4N6MOREKBNU6FGOSQL \
  | 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: d5d270f1e2e37cc7448a0b69e299d282c547a9b49958fa2430bc37b385c21794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95096401c5b43e1ebc1ded4cb3ae165997c874798674f50ec041f0b4452d3716",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-03-17T18:53:05Z",
    "title_canon_sha256": "ef7aa5cd2ca4d424969b5a8453012c2a9ce3ff295a2bdc1bbca0542a0bedcc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503369",
    "kind": "arxiv",
    "version": 1
  }
}