Pith Number

pith:3TYUKF44

pith:2018:3TYUKF44GQT63WOAN22FT5ZRBM

not attested not anchored not stored refs pending

Zonotopes whose cellular strings are all coherent

Gaku Liu, Pakawut Jiradilok, Rob Edman, Thomas McConville

arxiv:1801.09140 v1 · 2018-01-27 · 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{3TYUKF44GQT63WOAN22FT5ZRBM}

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	2026-05-18T00:24:58.465253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf145179c3427edd9c06eb459f7310b2d3b983892aad7981d4e4edc404e9bbc

Aliases

arxiv: 1801.09140 · arxiv_version: 1801.09140v1 · doi: 10.48550/arxiv.1801.09140 · pith_short_12: 3TYUKF44GQT6 · pith_short_16: 3TYUKF44GQT63WOA · pith_short_8: 3TYUKF44

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/3TYUKF44GQT63WOAN22FT5ZRBM \
  | 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: dcf145179c3427edd9c06eb459f7310b2d3b983892aad7981d4e4edc404e9bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c74c5693be4a3f71c66f8f42d2fad8917887cc17b95ed9cd35e634bda521dd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-27T20:46:27Z",
    "title_canon_sha256": "1d9878a3f68bde3046925d17ed3a2b90fa8cec3040df620171becfb29e80de42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09140",
    "kind": "arxiv",
    "version": 1
  }
}