Pith Number

pith:BNQ6VHAQ

pith:2021:BNQ6VHAQ4ACEU2OLUK5ALHGEYS

not attested not anchored not stored refs pending

Facet volumes of polytopes

Alexander Heaton, Paul Breiding, Pavle V. M. Blagojevi\'c

arxiv:2112.08437 v1 · 2021-12-15 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNQ6VHAQ4ACEU2OLUK5ALHGEYS}

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	2026-07-05T03:41:29.201644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b61ea9c10e0044a69cba2ba059cc4c49bb6afd52c9ebac771995fcb88d7e062

Aliases

arxiv: 2112.08437 · arxiv_version: 2112.08437v1 · doi: 10.48550/arxiv.2112.08437 · pith_short_12: BNQ6VHAQ4ACE · pith_short_16: BNQ6VHAQ4ACEU2OL · pith_short_8: BNQ6VHAQ

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/BNQ6VHAQ4ACEU2OLUK5ALHGEYS \
  | 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: 0b61ea9c10e0044a69cba2ba059cc4c49bb6afd52c9ebac771995fcb88d7e062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350d5b182294080018fcefaac2abbed690217bbe21acba0cac838a4973661d6b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-15T19:27:51Z",
    "title_canon_sha256": "4017ccd6c20a7cf520a45f728eb86e377b25f72e6b45fd9762b662f278f4db39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08437",
    "kind": "arxiv",
    "version": 1
  }
}