Pith Number

pith:7ZISLYDB

pith:2016:7ZISLYDBTJIIXSFQHFIPR4KCVJ

not attested not anchored not stored refs pending

Once punctured disks, non-convex polygons, and pointihedra

Hugo Parlier, Lionel Pournin

arxiv:1602.04576 v1 · 2016-02-15 · math.CO · 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{7ZISLYDBTJIIXSFQHFIPR4KCVJ}

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	2026-05-18T00:06:21.088863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5125e0619a508bc8b03950f8f142aa55968a1406daf385d1f04e9c66e5d630

Aliases

arxiv: 1602.04576 · arxiv_version: 1602.04576v1 · doi: 10.48550/arxiv.1602.04576 · pith_short_12: 7ZISLYDBTJII · pith_short_16: 7ZISLYDBTJIIXSFQ · pith_short_8: 7ZISLYDB

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/7ZISLYDBTJIIXSFQHFIPR4KCVJ \
  | 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: fe5125e0619a508bc8b03950f8f142aa55968a1406daf385d1f04e9c66e5d630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fb0cf4e07fbe153c055a7142695885696fc4851fb1f6aaeaec487d2aab223ea",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-15T07:15:10Z",
    "title_canon_sha256": "f6f51a7bc543f387bdf2b994d9bbc0d98530f31ea3fd338f7245ac382e9cfccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04576",
    "kind": "arxiv",
    "version": 1
  }
}