Pith Number

pith:RW5UPZ52

pith:2012:RW5UPZ52II6PJ3WAIMS665KOCD

not attested not anchored not stored refs pending

Combinatorial realizability models of type theory

Michael A. Warren, Pieter Hofstra

arxiv:1205.5527 v1 · 2012-05-24 · math.LO · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RW5UPZ52II6PJ3WAIMS665KOCD}

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	2026-05-18T03:55:00.884553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbb47e7ba423cf4eec04325ef754e10d6460d30ecc97df09fdf327f9e72ea9a

Aliases

arxiv: 1205.5527 · arxiv_version: 1205.5527v1 · doi: 10.48550/arxiv.1205.5527 · pith_short_12: RW5UPZ52II6P · pith_short_16: RW5UPZ52II6PJ3WA · pith_short_8: RW5UPZ52

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/RW5UPZ52II6PJ3WAIMS665KOCD \
  | 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: 8dbb47e7ba423cf4eec04325ef754e10d6460d30ecc97df09fdf327f9e72ea9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6572022bd73fc4ec922e4bf5968ab5e4c1119df5421b98c2b74f9226673141b2",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-05-24T18:49:11Z",
    "title_canon_sha256": "388a874d23da5a2c0eb6d5770694152a287609e288ccf9c6bc3d979677667874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5527",
    "kind": "arxiv",
    "version": 1
  }
}