Pith Number

pith:TMDMVDUT

pith:2007:TMDMVDUTRZBYEOJS7IIUSZ2FAY

not attested not anchored not stored refs pending

Intersection homology and Poincar\'e duality on homotopically stratified spaces

Greg Friedman

arxiv:math/0702087 v2 · 2007-02-05 · math.GT · 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{TMDMVDUTRZBYEOJS7IIUSZ2FAY}

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	2026-05-18T04:25:26.308723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b06ca8e938e43823932fa11496745062028b73bc79027db698c14273fbb27f6

Aliases

arxiv: math/0702087 · arxiv_version: math/0702087v2 · doi: 10.48550/arxiv.math/0702087 · pith_short_12: TMDMVDUTRZBY · pith_short_16: TMDMVDUTRZBYEOJS · pith_short_8: TMDMVDUT

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/TMDMVDUTRZBYEOJS7IIUSZ2FAY \
  | 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: 9b06ca8e938e43823932fa11496745062028b73bc79027db698c14273fbb27f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ecd44c7dfdce4451995337c9e8b2936a4b15a3dbb2b4cfc6410485a8f6d1605",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-02-05T00:08:51Z",
    "title_canon_sha256": "95ffe6b50ca50466e7d480ba414224bf1bfdc910613368cbd3475f662741c776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702087",
    "kind": "arxiv",
    "version": 2
  }
}