Pith Number

pith:ABBCV4VY

pith:2011:ABBCV4VYVTR67MZSW3JKLXICIL

not attested not anchored not stored refs pending

Relative to any non-hyperarithmetic set

Antonio Montalban, Noam Greenberg, Theodore Slaman

arxiv:1110.1907 v1 · 2011-10-10 · 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{ABBCV4VYVTR67MZSW3JKLXICIL}

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	2026-05-18T04:11:19.359579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00422af2b8ace3efb332b6d2a5dd0242c78c7a2cd860cbd7418403dea1592b08

Aliases

arxiv: 1110.1907 · arxiv_version: 1110.1907v1 · doi: 10.48550/arxiv.1110.1907 · pith_short_12: ABBCV4VYVTR6 · pith_short_16: ABBCV4VYVTR67MZS · pith_short_8: ABBCV4VY

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/ABBCV4VYVTR67MZSW3JKLXICIL \
  | 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: 00422af2b8ace3efb332b6d2a5dd0242c78c7a2cd860cbd7418403dea1592b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34658f953e2dafdeb92b513d6ef83b6f69be6370447efbcd8f5e3d94e0d152c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-10T01:45:27Z",
    "title_canon_sha256": "46cddd04d330902f603576caf63b9d3198d7ea821c2be84239eedd702b1ccb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1907",
    "kind": "arxiv",
    "version": 1
  }
}