Pith Number

pith:ZRN7L3AU

pith:2009:ZRN7L3AU44D4GCV4ZM7DSA5AKS

not attested not anchored not stored refs pending

Aspects of Predicative Algebraic Set Theory III: Sheaves

Benno van den Berg, Ieke Moerdijk

arxiv:0912.1242 v2 · 2009-12-07 · 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{ZRN7L3AU44D4GCV4ZM7DSA5AKS}

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	2026-05-18T02:58:02.578281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5bf5ec14e707c30abccb3e3903a0549464cc017e20342595376b9abdaec353

Aliases

arxiv: 0912.1242 · arxiv_version: 0912.1242v2 · doi: 10.48550/arxiv.0912.1242 · pith_short_12: ZRN7L3AU44D4 · pith_short_16: ZRN7L3AU44D4GCV4 · pith_short_8: ZRN7L3AU

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/ZRN7L3AU44D4GCV4ZM7DSA5AKS \
  | 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: cc5bf5ec14e707c30abccb3e3903a0549464cc017e20342595376b9abdaec353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41be7a64f2967956b077d7d2fe81cbed837b4f4acc4056e21d76142e3cba24a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-12-07T13:57:19Z",
    "title_canon_sha256": "9acaab8d65d9477a0672661e86607759bddf3f847ca4e78652d01fd5172ba7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1242",
    "kind": "arxiv",
    "version": 2
  }
}