Pith Number

pith:6PFZGGSM

pith:2016:6PFZGGSM63MEITK6QRQNI7KRI5

not attested not anchored not stored refs pending

Products of abstract polytopes

Ian Gleason, Isabel Hubard

arxiv:1603.03585 v1 · 2016-03-11 · 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{6PFZGGSM63MEITK6QRQNI7KRI5}

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	2026-05-18T01:19:15.251016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cb931a4cf6d8444d5e8460d47d51475858ab9e2254866d45ea8220ff32b0c2

Aliases

arxiv: 1603.03585 · arxiv_version: 1603.03585v1 · doi: 10.48550/arxiv.1603.03585 · pith_short_12: 6PFZGGSM63ME · pith_short_16: 6PFZGGSM63MEITK6 · pith_short_8: 6PFZGGSM

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/6PFZGGSM63MEITK6QRQNI7KRI5 \
  | 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: f3cb931a4cf6d8444d5e8460d47d51475858ab9e2254866d45ea8220ff32b0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c25f03bd228e014e3a7e8b7856150026cfc190f837f96346247c95f207045f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-11T10:23:08Z",
    "title_canon_sha256": "2e06f43e65938269949ae6d77b3c33fdcd147795fb13e854f6730de2ad10ec4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03585",
    "kind": "arxiv",
    "version": 1
  }
}