Pith Number

pith:GMWQGPYB

pith:2016:GMWQGPYBCNLESSD67CD2VISVMV

not attested not anchored not stored refs pending

The Embedded Homology of Hypergraphs and Applications

Jie Wu, Jingyan Li, Shiquan Ren, Stephane Bressan

arxiv:1610.00890 v5 · 2016-10-04 · 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{GMWQGPYBCNLESSD67CD2VISVMV}

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	2026-05-18T00:21:05.171473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332d033f01135649487ef887aaa25565743aafdc9e58da47200246f219505c88

Aliases

arxiv: 1610.00890 · arxiv_version: 1610.00890v5 · doi: 10.48550/arxiv.1610.00890 · pith_short_12: GMWQGPYBCNLE · pith_short_16: GMWQGPYBCNLESSD6 · pith_short_8: GMWQGPYB

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/GMWQGPYBCNLESSD67CD2VISVMV \
  | 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: 332d033f01135649487ef887aaa25565743aafdc9e58da47200246f219505c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8acb69d317635ae1aba8fe97e62a20e8db146d502b909352bef76db3577ad08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-10-04T08:03:30Z",
    "title_canon_sha256": "64b9d7379278f52e2faad04e592704973a039e245bb6abee72f79d6646e2d304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00890",
    "kind": "arxiv",
    "version": 5
  }
}