Pith Number

pith:ENQIUQX4

pith:2012:ENQIUQX4ETRZOAP4RTWUUVUE7M

not attested not anchored not stored refs pending

Convex Hull of Face Vectors of Colored Complexes

Afshin Goodarzi

arxiv:1210.8390 v1 · 2012-10-31 · 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{ENQIUQX4ETRZOAP4RTWUUVUE7M}

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	2026-05-18T03:41:44.690806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23608a42fc24e39701fc8ced4a5684fb3d48d7c1c35060a08934e65a04a912ae

Aliases

arxiv: 1210.8390 · arxiv_version: 1210.8390v1 · doi: 10.48550/arxiv.1210.8390 · pith_short_12: ENQIUQX4ETRZ · pith_short_16: ENQIUQX4ETRZOAP4 · pith_short_8: ENQIUQX4

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/ENQIUQX4ETRZOAP4RTWUUVUE7M \
  | 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: 23608a42fc24e39701fc8ced4a5684fb3d48d7c1c35060a08934e65a04a912ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f18d4e572787db12bf2c71eceee9107393ac17c534889fe1316170f804b8564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-31T16:52:09Z",
    "title_canon_sha256": "08a34370d2ca8b0908bdce59c255e99b38a0c025430092f9f26ab4967b4130bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8390",
    "kind": "arxiv",
    "version": 1
  }
}