Pith Number

pith:YXC56VB5

pith:2010:YXC56VB5YE2YCKEO7O6RCFT2IR

not attested not anchored not stored refs pending

Reverse mathematics and equivalents of the axiom of choice

Carl Mummert, Damir D. Dzhafarov

arxiv:1009.3242 v3 · 2010-09-16 · 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{YXC56VB5YE2YCKEO7O6RCFT2IR}

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	2026-05-18T04:40:08.087870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c5df543dc13581288efbbd11167a4463993bc5973e68e6eb690efe1dcf9d07

Aliases

arxiv: 1009.3242 · arxiv_version: 1009.3242v3 · doi: 10.48550/arxiv.1009.3242 · pith_short_12: YXC56VB5YE2Y · pith_short_16: YXC56VB5YE2YCKEO · pith_short_8: YXC56VB5

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/YXC56VB5YE2YCKEO7O6RCFT2IR \
  | 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: c5c5df543dc13581288efbbd11167a4463993bc5973e68e6eb690efe1dcf9d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14079df613d009ef6f041e41f3b390d4fb576053008792ed914925eb0a48131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-16T18:47:45Z",
    "title_canon_sha256": "b7a1fa3cc4463396799dd7b9942f15a8a13edaf913b7641082e4244e039d43c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3242",
    "kind": "arxiv",
    "version": 3
  }
}