Pith Number

pith:5AJUJIMW

pith:2022:5AJUJIMWLGA5FHIK5ODW3WQRV4

not attested not anchored not stored refs pending

Hexagonal Geometric Triangulations

Xiaoping Zhu

arxiv:2204.10791 v2 · 2022-04-22 · 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{5AJUJIMWLGA5FHIK5ODW3WQRV4}

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	2026-07-05T04:17:40.923220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81344a1965981d29d0aeb876dda11af132d6156e734997550d10e170a9373b2

Aliases

arxiv: 2204.10791 · arxiv_version: 2204.10791v2 · doi: 10.48550/arxiv.2204.10791 · pith_short_12: 5AJUJIMWLGA5 · pith_short_16: 5AJUJIMWLGA5FHIK · pith_short_8: 5AJUJIMW

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/5AJUJIMWLGA5FHIK5ODW3WQRV4 \
  | 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: e81344a1965981d29d0aeb876dda11af132d6156e734997550d10e170a9373b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca988935f52ca8ef20750a75cba5e997f73200fbae21ff385e257db7393d5e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-04-22T16:09:00Z",
    "title_canon_sha256": "bffaff5679e1253fc827cdb6f3c7414cce2e9088cb52f42641fcb4617fc70662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10791",
    "kind": "arxiv",
    "version": 2
  }
}