Pith Number

pith:WEYVDW33

pith:2011:WEYVDW33WM4FABFZ7SZKEDNJED

not attested not anchored not stored refs pending

Satisfiability thresholds beyond k-XORSAT

Andreas Goerdt, Lutz Falke

arxiv:1112.2118 v1 · 2011-12-09 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEYVDW33WM4FABFZ7SZKEDNJED}

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	2026-05-18T04:06:44.066449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b13151db7bb3385004b9fcb2a20da920f340016d827ee599affa09a4a7201566

Aliases

arxiv: 1112.2118 · arxiv_version: 1112.2118v1 · doi: 10.48550/arxiv.1112.2118 · pith_short_12: WEYVDW33WM4F · pith_short_16: WEYVDW33WM4FABFZ · pith_short_8: WEYVDW33

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/WEYVDW33WM4FABFZ7SZKEDNJED \
  | 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: b13151db7bb3385004b9fcb2a20da920f340016d827ee599affa09a4a7201566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f4222460f1f00948a08c1c8f5a769fce685c319232daeede8830c3d63b2d24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-12-09T15:26:47Z",
    "title_canon_sha256": "5795418ca08d1d98f9e9dec5aa11f8b319016e8b31ce5895711ea8c93a948c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2118",
    "kind": "arxiv",
    "version": 1
  }
}