Pith Number

pith:34TNQ53B

pith:2012:34TNQ53BNRDQDNXW56QJGMMPMQ

not attested not anchored not stored refs pending

The Satisfiability Threshold for k-XORSAT

Boris Pittel, Gregory B. Sorkin

arxiv:1212.1905 v2 · 2012-12-09 · 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{34TNQ53BNRDQDNXW56QJGMMPMQ}

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	2026-05-18T02:45:58.412899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df26d877616c4701b6f6efa093318f642676919aa46f1803d38c8ab9f904f867

Aliases

arxiv: 1212.1905 · arxiv_version: 1212.1905v2 · doi: 10.48550/arxiv.1212.1905 · pith_short_12: 34TNQ53BNRDQ · pith_short_16: 34TNQ53BNRDQDNXW · pith_short_8: 34TNQ53B

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/34TNQ53BNRDQDNXW56QJGMMPMQ \
  | 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: df26d877616c4701b6f6efa093318f642676919aa46f1803d38c8ab9f904f867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c38c9ad23f264a4b06ba50071eedf127c6850615713b9312f0502ce21727ba6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-09T17:21:12Z",
    "title_canon_sha256": "233f721f8fa8e8282cf2357287508c17cd91fd919242c7e3b077da678b062451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1905",
    "kind": "arxiv",
    "version": 2
  }
}