Pith Number

pith:2XNHAGT4

pith:2009:2XNHAGT4P763NPNHWA4SHUSMTX

not attested not anchored not stored refs pending

String topology for complex projective spaces

Richard A. Hepworth

arxiv:0908.1013 v1 · 2009-08-07 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XNHAGT4P763NPNHWA4SHUSMTX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch

Receipt and verification

First computed	2026-05-18T04:40:56.186660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5da701a7c7ffdb6bda7b03923d24c9de0a04862477f5f3c7f49450fd7ca36db

Aliases

arxiv: 0908.1013 · arxiv_version: 0908.1013v1 · doi: 10.48550/arxiv.0908.1013 · pith_short_12: 2XNHAGT4P763 · pith_short_16: 2XNHAGT4P763NPNH · pith_short_8: 2XNHAGT4

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/2XNHAGT4P763NPNHWA4SHUSMTX \
  | 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: d5da701a7c7ffdb6bda7b03923d24c9de0a04862477f5f3c7f49450fd7ca36db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2687fb33bcbfa90712c85ecb1a47a0676c2e7a784a428f36d32fef7f6414e140",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-08-07T10:13:23Z",
    "title_canon_sha256": "184964be9177b1bff9f8989086e2b177b467da991776f29179c9f1c8fce9f1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1013",
    "kind": "arxiv",
    "version": 1
  }
}