Pith Number

pith:O2NVDY6W

pith:2011:O2NVDY6WVNAJYMLNSELX6HDBUO

not attested not anchored not stored refs pending

A fixed point for the jump operator on structures

Antonio Montalban

arxiv:1106.0908 v1 · 2011-06-05 · 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{O2NVDY6WVNAJYMLNSELX6HDBUO}

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	2026-05-18T04:20:37.079085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769b51e3d6ab409c316d91177f1c61a3a9e154ce62771a2d2bdf56482023d2c4

Aliases

arxiv: 1106.0908 · arxiv_version: 1106.0908v1 · doi: 10.48550/arxiv.1106.0908 · pith_short_12: O2NVDY6WVNAJ · pith_short_16: O2NVDY6WVNAJYMLN · pith_short_8: O2NVDY6W

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/O2NVDY6WVNAJYMLNSELX6HDBUO \
  | 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: 769b51e3d6ab409c316d91177f1c61a3a9e154ce62771a2d2bdf56482023d2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "693cb3a04a09898ae41b6ed276bc29a890a6bf11a4c0384576d996aa64e76c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-06-05T15:17:59Z",
    "title_canon_sha256": "85ce81b3195b33628d4ac4a88ee7f3086f5a6591b9d61279e812c6d9eff05985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0908",
    "kind": "arxiv",
    "version": 1
  }
}