Pith Number

pith:2V2LL3B4

pith:2010:2V2LL3B46RY5KQKQCC7UQCLUTI

not attested not anchored not stored refs pending

Face vectors of subdivided simplicial complexes

Aaron Pixton, Emanuele Delucchi, Lucas Sabalka

arxiv:1002.3201 v3 · 2010-02-17 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V2LL3B46RY5KQKQCC7UQCLUTI}

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	2026-05-18T04:11:08.873338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d574b5ec3cf471d5415010bf4809749a3ef879fd4e5011fbe76f5daee8cacc38

Aliases

arxiv: 1002.3201 · arxiv_version: 1002.3201v3 · doi: 10.48550/arxiv.1002.3201 · pith_short_12: 2V2LL3B46RY5 · pith_short_16: 2V2LL3B46RY5KQKQ · pith_short_8: 2V2LL3B4

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/2V2LL3B46RY5KQKQCC7UQCLUTI \
  | 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: d574b5ec3cf471d5415010bf4809749a3ef879fd4e5011fbe76f5daee8cacc38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b3c3fe7f377613a5810b1dd379ea92ac2f923b6e79e0093c9458fc9bf521c0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-17T04:12:06Z",
    "title_canon_sha256": "2119fc33008d32b5c92ae01a841d20efe0b4c12e7bcb8ac49cc7a47c97c36e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3201",
    "kind": "arxiv",
    "version": 3
  }
}