Pith Number

pith:FBCHP7ZR

pith:2012:FBCHP7ZRLN5XBWQNWRHPVM3SR5

not attested not anchored not stored refs pending

A presentation of general multipersistence modules computable in polynomial time?

Antonio Patriarca, Francesco Vaccarino, Martina Scolamiero

arxiv:1210.1932 v2 · 2012-10-06 · math.AT · cs.CG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBCHP7ZRLN5XBWQNWRHPVM3SR5}

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	2026-05-18T01:24:04.619422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284477ff315b7b70da0db44efab3728f626ca5366d0c19dc869d76299eba9a01

Aliases

arxiv: 1210.1932 · arxiv_version: 1210.1932v2 · doi: 10.48550/arxiv.1210.1932 · pith_short_12: FBCHP7ZRLN5X · pith_short_16: FBCHP7ZRLN5XBWQN · pith_short_8: FBCHP7ZR

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/FBCHP7ZRLN5XBWQNWRHPVM3SR5 \
  | 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: 284477ff315b7b70da0db44efab3728f626ca5366d0c19dc869d76299eba9a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340ba6eb5de4f06fbf8007721e00d9018701c4cebb18b23b747205206d7e8e89",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-06T08:40:00Z",
    "title_canon_sha256": "40a501f1156201bba3420c7c91e19be463c8f6adcb7d4243b887ea8c36916c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1932",
    "kind": "arxiv",
    "version": 2
  }
}