Pith Number

pith:LXQXIAAN

pith:2013:LXQXIAANPVEXG37BEFU6RRH4MD

not attested not anchored not stored refs pending

The threshold for integer homology in random d-complexes

Christopher Hoffman, Elliot Paquette, Matthew Kahle

arxiv:1308.6232 v2 · 2013-08-28 · math.AT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXQXIAANPVEXG37BEFU6RRH4MD}

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	2026-05-18T02:54:30.689898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de174000d7d49736fe12169e8c4fc60e894bf06986e72fd73fc0db7e5942227

Aliases

arxiv: 1308.6232 · arxiv_version: 1308.6232v2 · doi: 10.48550/arxiv.1308.6232 · pith_short_12: LXQXIAANPVEX · pith_short_16: LXQXIAANPVEXG37B · pith_short_8: LXQXIAAN

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/LXQXIAANPVEXG37BEFU6RRH4MD \
  | 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: 5de174000d7d49736fe12169e8c4fc60e894bf06986e72fd73fc0db7e5942227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b701c819a00afc77aeee7d03adb8dbe82f6835a289587db4c4256ac6a42a3ddb",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-28T17:50:24Z",
    "title_canon_sha256": "929de585cb364dd43a57b66a3d636ead4dbb1014d136285a9655e045566a9adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6232",
    "kind": "arxiv",
    "version": 2
  }
}