Pith Number

pith:XTKLGRRJ

pith:2013:XTKLGRRJ4U5M3WF3ZWYDLILODO

not attested not anchored not stored refs pending

Persistence modules: Algebra and algorithms

Mikael Vejdemo-Johansson, Primoz Skraba

arxiv:1302.2015 v2 · 2013-02-08 · cs.CG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTKLGRRJ4U5M3WF3ZWYDLILODO}

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	2026-05-18T03:33:37.109278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd4b34629e53acdd8bbcdb035a16e1bbdcb27621f4761c4c2660e8368d13210

Aliases

arxiv: 1302.2015 · arxiv_version: 1302.2015v2 · doi: 10.48550/arxiv.1302.2015 · pith_short_12: XTKLGRRJ4U5M · pith_short_16: XTKLGRRJ4U5M3WF3 · pith_short_8: XTKLGRRJ

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/XTKLGRRJ4U5M3WF3ZWYDLILODO \
  | 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: bcd4b34629e53acdd8bbcdb035a16e1bbdcb27621f4761c4c2660e8368d13210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bc55fb686a3e2db192b16c0022cd3ac3a9b4705d6a650c833dccf4da8d3c11f",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-02-08T12:26:10Z",
    "title_canon_sha256": "788ad3504f33c4ae440f844e8a1926787bafc2e29afcc6f3f17d4f3c21e6f0c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2015",
    "kind": "arxiv",
    "version": 2
  }
}