Pith Number

pith:S6ZX5OT7

pith:2010:S6ZX5OT7IJ4YYIUS2XJZL6HMWP

not attested not anchored not stored refs pending

Reverse mathematics and infinite traceable graphs

David Galvin, Peter Cholak, Reed Solomon

arxiv:1008.4548 v2 · 2010-08-26 · 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{S6ZX5OT7IJ4YYIUS2XJZL6HMWP}

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	2026-05-18T04:32:11.724669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b37eba7f42798c2292d5d395f8ecb3ccc7438519e7b13e7b4c9405609831b0

Aliases

arxiv: 1008.4548 · arxiv_version: 1008.4548v2 · doi: 10.48550/arxiv.1008.4548 · pith_short_12: S6ZX5OT7IJ4Y · pith_short_16: S6ZX5OT7IJ4YYIUS · pith_short_8: S6ZX5OT7

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/S6ZX5OT7IJ4YYIUS2XJZL6HMWP \
  | 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: 97b37eba7f42798c2292d5d395f8ecb3ccc7438519e7b13e7b4c9405609831b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a97e516a2e312187dae19e536b07ac6f75a01b997393042ab3af8fcf7e94ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-08-26T17:07:12Z",
    "title_canon_sha256": "66e3bd78fe1eadcb12d2205cc2b562f81ed195655279af718e4c365959a145aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4548",
    "kind": "arxiv",
    "version": 2
  }
}