Pith Number

pith:W6WN3SY5

pith:2013:W6WN3SY5YGCFOZSFTDPFQVAL7E

not attested not anchored not stored refs pending

Expansion Trees with Cut

Daniel Weller, Stefan Hetzl

arxiv:1308.0428 v1 · 2013-08-02 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6WN3SY5YGCFOZSFTDPFQVAL7E}

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	2026-05-18T03:16:50.521853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7acddcb1dc18457664598de58540bf9060ece105cfd28a3a4fb5f4e0b82f302

Aliases

arxiv: 1308.0428 · arxiv_version: 1308.0428v1 · doi: 10.48550/arxiv.1308.0428 · pith_short_12: W6WN3SY5YGCF · pith_short_16: W6WN3SY5YGCFOZSF · pith_short_8: W6WN3SY5

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/W6WN3SY5YGCFOZSFTDPFQVAL7E \
  | 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: b7acddcb1dc18457664598de58540bf9060ece105cfd28a3a4fb5f4e0b82f302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989090623bd4a504743f4fb08798db36375d63912e363595c1ef938f986af200",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2013-08-02T07:54:30Z",
    "title_canon_sha256": "26c3f6f17646a99dacc6cbff78a1baa01089bdd2e867723c1d389498e1bd5358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0428",
    "kind": "arxiv",
    "version": 1
  }
}