Pith Number

pith:MN6O3MRQ

pith:2010:MN6O3MRQFMQDEYRM6M545TDI3A

not attested not anchored not stored refs pending

Reverse mathematics and uniformity in proofs without excluded middle

Carl Mummert, Jeffry L. Hirst

arxiv:1010.5165 v1 · 2010-10-25 · 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{MN6O3MRQFMQDEYRM6M545TDI3A}

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	2026-05-18T04:03:57.043851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637cedb2302b2032622cf33bcecc68d80bd1f2c7b58bca6425b0e52988fdd31e

Aliases

arxiv: 1010.5165 · arxiv_version: 1010.5165v1 · doi: 10.48550/arxiv.1010.5165 · pith_short_12: MN6O3MRQFMQD · pith_short_16: MN6O3MRQFMQDEYRM · pith_short_8: MN6O3MRQ

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/MN6O3MRQFMQDEYRM6M545TDI3A \
  | 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: 637cedb2302b2032622cf33bcecc68d80bd1f2c7b58bca6425b0e52988fdd31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ba7bf53c18425fbbc9cae6615bd7c7c4ca0903b33e88c414157ef7a7f29657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-10-25T15:29:15Z",
    "title_canon_sha256": "8f4eda3133d466fb741f4aa1cd7741e11a11d42cf67361ef2a8123026ad96e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5165",
    "kind": "arxiv",
    "version": 1
  }
}