Pith Number

pith:BXLS3KBC

pith:2010:BXLS3KBCPXD4ILT7XLBRS2XO3G

not attested not anchored not stored refs pending

Negative translations not intuitionistically equivalent to the usual ones

Jaime Gaspar

arxiv:1011.0317 v2 · 2010-11-01 · 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{BXLS3KBCPXD4ILT7XLBRS2XO3G}

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	2026-05-18T04:26:22.999512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd72da8227dc7c42e7fbac3196aeed98dd9fd280b7b901536ade2176f1680cc

Aliases

arxiv: 1011.0317 · arxiv_version: 1011.0317v2 · doi: 10.48550/arxiv.1011.0317 · pith_short_12: BXLS3KBCPXD4 · pith_short_16: BXLS3KBCPXD4ILT7 · pith_short_8: BXLS3KBC

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/BXLS3KBCPXD4ILT7XLBRS2XO3G \
  | 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: 0dd72da8227dc7c42e7fbac3196aeed98dd9fd280b7b901536ade2176f1680cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36dab57b1f1b7cc3aa494e79cd18e24e9762e4f941be1203500649b3288114c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-11-01T13:30:42Z",
    "title_canon_sha256": "496e40dec9848e8f8e702586d64440a233af0603c0663ed69f63955dfa8fdf67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0317",
    "kind": "arxiv",
    "version": 2
  }
}