Pith Number

pith:PCWY55HA

pith:2011:PCWY55HA2I36KGBP73FEFCAQCR

not attested not anchored not stored refs pending

Foliated Stratified Spaces and a De Rham Complex Describing Intersection Space Cohomology

Markus Banagl

arxiv:1102.4781 v1 · 2011-02-23 · math.AT · 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{PCWY55HA2I36KGBP73FEFCAQCR}

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	2026-05-18T04:28:07.366380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ad8ef4e0d237e5182ffeca4288101469d3aedf91a80040af99ea5395a3da32

Aliases

arxiv: 1102.4781 · arxiv_version: 1102.4781v1 · doi: 10.48550/arxiv.1102.4781 · pith_short_12: PCWY55HA2I36 · pith_short_16: PCWY55HA2I36KGBP · pith_short_8: PCWY55HA

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/PCWY55HA2I36KGBP73FEFCAQCR \
  | 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: 78ad8ef4e0d237e5182ffeca4288101469d3aedf91a80040af99ea5395a3da32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b49e9c6192d1055fe969e4b8b8fd62572fc3a1ecd09148dc0a19b641fb16171",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-23T16:24:51Z",
    "title_canon_sha256": "7721b3352d77bbec157b44383dc0077ceaf5e80ceae3dffa805573a8bd3d1656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4781",
    "kind": "arxiv",
    "version": 1
  }
}