Pith Number

pith:NNG25JC6

pith:2009:NNG25JC6YOQG4G4TZKDY652GN7

not attested not anchored not stored refs pending

The Veblen functions for computability theorists

Alberto Marcone, Antonio Montalb\'an

arxiv:0910.5442 v2 · 2009-10-28 · 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{NNG25JC6YOQG4G4TZKDY652GN7}

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	2026-05-18T04:20:50.049779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4daea45ec3a06e1b93ca878f77466ff81b9daa02a4fb550a754d38fe8636ab

Aliases

arxiv: 0910.5442 · arxiv_version: 0910.5442v2 · doi: 10.48550/arxiv.0910.5442 · pith_short_12: NNG25JC6YOQG · pith_short_16: NNG25JC6YOQG4G4T · pith_short_8: NNG25JC6

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/NNG25JC6YOQG4G4TZKDY652GN7 \
  | 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: 6b4daea45ec3a06e1b93ca878f77466ff81b9daa02a4fb550a754d38fe8636ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf367fe34fe486c5b59c5224b28c92355f5548b501f727428a23f5a41e89a8ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-10-28T17:30:02Z",
    "title_canon_sha256": "fb52c67cde428cda1df24be11c9eb36b35015602e337884d5f450d6127935a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5442",
    "kind": "arxiv",
    "version": 2
  }
}