Pith Number

pith:C2JPCSAZ

pith:2012:C2JPCSAZOYVBBPQMI2LBTHU46Q

not attested not anchored not stored refs pending

Hechler and Laver Trees

Arnold W. Miller

arxiv:1204.5198 v1 · 2012-04-23 · 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{C2JPCSAZOYVBBPQMI2LBTHU46Q}

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	2026-05-18T03:57:13.769351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1692f14819762a10be0c4696199e9cf4276a79c54f4ddd01d5d337be4fdc6c6f

Aliases

arxiv: 1204.5198 · arxiv_version: 1204.5198v1 · doi: 10.48550/arxiv.1204.5198 · pith_short_12: C2JPCSAZOYVB · pith_short_16: C2JPCSAZOYVBBPQM · pith_short_8: C2JPCSAZ

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/C2JPCSAZOYVBBPQMI2LBTHU46Q \
  | 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: 1692f14819762a10be0c4696199e9cf4276a79c54f4ddd01d5d337be4fdc6c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641e2ab38b9283ae522e6a95fc345cbadcdeb4cb0955c3cebe78805d67f59f4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-23T20:16:33Z",
    "title_canon_sha256": "808d14503a577945d4ebdfd078ae8be8eb31087945e8f385471f950c21ecd032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5198",
    "kind": "arxiv",
    "version": 1
  }
}