Pith Number

pith:XCYGHYUI

pith:2019:XCYGHYUI3AABIZXTJ2GKPPETLB

not attested not anchored not stored refs pending

Lickorish type construction of manifolds over simple polytopes

Li Yu, Wei Wang, Zhi L\"u

arxiv:1902.06895 v1 · 2019-02-19 · math.AT · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCYGHYUI3AABIZXTJ2GKPPETLB}

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.

Receipt and verification

First computed	2026-05-17T23:53:40.497143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b063e288d8001466f34e8ca7bc9358721fbda6bde0e10ce089ad416bcd2376

Aliases

arxiv: 1902.06895 · arxiv_version: 1902.06895v1 · doi: 10.48550/arxiv.1902.06895 · pith_short_12: XCYGHYUI3AAB · pith_short_16: XCYGHYUI3AABIZXT · pith_short_8: XCYGHYUI

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/XCYGHYUI3AABIZXTJ2GKPPETLB \
  | 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: b8b063e288d8001466f34e8ca7bc9358721fbda6bde0e10ce089ad416bcd2376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a607bf72bffff7f298697c006b7d180e3edf1d6a4b147b88a1f57273140f9cce",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-02-19T05:04:11Z",
    "title_canon_sha256": "49f7caabf30a46e7a35f81e83529f2f24212238c6a3453090e3e891742d21b0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06895",
    "kind": "arxiv",
    "version": 1
  }
}