Pith Number

pith:QQ4FDV7D

pith:2017:QQ4FDV7DVONBEOWDDMENRMLBK6

not attested not anchored not stored refs pending

Spark complexes on good effective orbifold atlases categorically

Cheng-Yong Du, Lili Shen, Xiaojuan Zhao

arxiv:1708.07551 v2 · 2017-08-19 · math.AT · math.CT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ4FDV7DVONBEOWDDMENRMLBK6}

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	2026-05-18T00:07:33.061149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843851d7e3ab9a123ac31b08d8b16157a448cf86098e3307c1e683db6a06320b

Aliases

arxiv: 1708.07551 · arxiv_version: 1708.07551v2 · doi: 10.48550/arxiv.1708.07551 · pith_short_12: QQ4FDV7DVONB · pith_short_16: QQ4FDV7DVONBEOWD · pith_short_8: QQ4FDV7D

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/QQ4FDV7DVONBEOWDDMENRMLBK6 \
  | 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: 843851d7e3ab9a123ac31b08d8b16157a448cf86098e3307c1e683db6a06320b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e2ac9610e44b147690e929d876e928d76e1fee669442e5637f517c655c1a2e",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-19T13:40:03Z",
    "title_canon_sha256": "dfcd8e47c2eea7c0ec401aed24473a67c998f03d35bee61ddd668c6c64531bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07551",
    "kind": "arxiv",
    "version": 2
  }
}