Pith Number

pith:XHX6DOFO

pith:2000:XHX6DOFOK3G7IXHV3TG457OJR2

not attested not anchored not stored refs pending

Combinatorial formulas for products of Thom classes

Catalin Zara, Victor Guillemin

arxiv:math/0007166 v1 · 2000-07-26 · math.SG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHX6DOFOK3G7IXHV3TG457OJR2}

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	2026-07-04T14:34:37.028091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9efe1b8ae56cdf45cf5dccdcefdc98ead7ea09b1192c0340d91bf3823bfa827

Aliases

arxiv: math/0007166 · arxiv_version: math/0007166v1 · doi: 10.48550/arxiv.math/0007166 · pith_short_12: XHX6DOFOK3G7 · pith_short_16: XHX6DOFOK3G7IXHV · pith_short_8: XHX6DOFO

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/XHX6DOFOK3G7IXHV3TG457OJR2 \
  | 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: b9efe1b8ae56cdf45cf5dccdcefdc98ead7ea09b1192c0340d91bf3823bfa827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89d4ee56ab7fba6ab9892ca16cf2996f68b46c90ea4180d75a9bfda09d2e29c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2000-07-26T17:55:35Z",
    "title_canon_sha256": "d576d578797e4cc1ca02a8d783276872f7db16de0fbd79ec0bc5bad8f4474b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007166",
    "kind": "arxiv",
    "version": 1
  }
}