Pith Number

pith:Z7KWFDIU

pith:2015:Z7KWFDIUO3A35GNCSG3S4IEUXR

not attested not anchored not stored refs pending

On a surface formed by randomly gluing together polygonal discs

Boris Pittel, Sergei Chmutov

arxiv:1503.01816 v1 · 2015-03-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7KWFDIUO3A35GNCSG3S4IEUXR}

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	2026-05-18T02:25:27.482459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd5628d1476c1be99a291b72e2094bc7baaabb805117b2239ee5aa00072de08

Aliases

arxiv: 1503.01816 · arxiv_version: 1503.01816v1 · doi: 10.48550/arxiv.1503.01816 · pith_short_12: Z7KWFDIUO3A3 · pith_short_16: Z7KWFDIUO3A35GNC · pith_short_8: Z7KWFDIU

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/Z7KWFDIUO3A35GNCSG3S4IEUXR \
  | 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: cfd5628d1476c1be99a291b72e2094bc7baaabb805117b2239ee5aa00072de08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4184ddd32eef688719cb18eebbb351214f0ae41bc24ffcd268e9228cabbb51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-05T23:37:16Z",
    "title_canon_sha256": "7ae431f71c488d137abec55992e6c3238309d58f1316262d3ee02fc4658f5ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01816",
    "kind": "arxiv",
    "version": 1
  }
}