Pith Number

pith:KGSTU6ER

pith:2011:KGSTU6ER637CXWSXEBOIUIAKYM

not attested not anchored not stored refs pending

The Homotopy Type of a Poincar\'e Duality Complex after Looping

Jie Wu, Piotr Beben

arxiv:1102.1516 v13 · 2011-02-08 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGSTU6ER637CXWSXEBOIUIAKYM}

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	2026-05-18T02:50:40.793481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a53a7891f6fe2bda57205c8a200ac313f5e5055aafa6c6409b8b3a4789757d

Aliases

arxiv: 1102.1516 · arxiv_version: 1102.1516v13 · doi: 10.48550/arxiv.1102.1516 · pith_short_12: KGSTU6ER637C · pith_short_16: KGSTU6ER637CXWSX · pith_short_8: KGSTU6ER

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/KGSTU6ER637CXWSXEBOIUIAKYM \
  | 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: 51a53a7891f6fe2bda57205c8a200ac313f5e5055aafa6c6409b8b3a4789757d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be88f46174f806985183ac349477ea9260fcc732546f34b7869a7273b412806",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-08T06:19:56Z",
    "title_canon_sha256": "6be18dacf05609edb51c371f7845c433964c9b52f36b852536fb70215f09d9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1516",
    "kind": "arxiv",
    "version": 13
  }
}