Pith Number

pith:PQJ3DKB7

pith:2010:PQJ3DKB7QM6LUR6YAQWXEVXDZK

not attested not anchored not stored refs pending

Derived rules for predicative set theory: an application of sheaves

Benno van den Berg, Ieke Moerdijk

arxiv:1009.3553 v2 · 2010-09-18 · 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{PQJ3DKB7QM6LUR6YAQWXEVXDZK}

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	2026-05-18T04:08:13.589661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c13b1a83f833cba47d8042d7256e3ca87e38700fe2db9597677a610c82adbab

Aliases

arxiv: 1009.3553 · arxiv_version: 1009.3553v2 · doi: 10.48550/arxiv.1009.3553 · pith_short_12: PQJ3DKB7QM6L · pith_short_16: PQJ3DKB7QM6LUR6Y · pith_short_8: PQJ3DKB7

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/PQJ3DKB7QM6LUR6YAQWXEVXDZK \
  | 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: 7c13b1a83f833cba47d8042d7256e3ca87e38700fe2db9597677a610c82adbab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75542f808a3157dc4c06d1e08887fb499d816505c1a8952ac60e1fb9c865453",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-18T12:16:35Z",
    "title_canon_sha256": "1d980c455e3889cd85e9ca6eb3f69d61c75dd1a83a6972614fcba19e047aadb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3553",
    "kind": "arxiv",
    "version": 2
  }
}