Pith Number

pith:3Z4O2OX4

pith:2010:3Z4O2OX4A5FMILCJYDFS7PXEU7

not attested not anchored not stored refs pending

W-Jaffard domains in pullbacks

Parviz Sahandi

arxiv:1003.1565 v3 · 2010-03-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z4O2OX4A5FMILCJYDFS7PXEU7}

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	2026-05-18T04:31:52.396272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de78ed3afc074ac42c49c0cb2fbee4a7cdfb9b99f27ad187ab09e056644051d8

Aliases

arxiv: 1003.1565 · arxiv_version: 1003.1565v3 · doi: 10.48550/arxiv.1003.1565 · pith_short_12: 3Z4O2OX4A5FM · pith_short_16: 3Z4O2OX4A5FMILCJ · pith_short_8: 3Z4O2OX4

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/3Z4O2OX4A5FMILCJYDFS7PXEU7 \
  | 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: de78ed3afc074ac42c49c0cb2fbee4a7cdfb9b99f27ad187ab09e056644051d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ba7938104c1df9d97a39c5975f6fc6fc413cf4a6ab0bf38c4b76e603960c27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-08T07:55:52Z",
    "title_canon_sha256": "775013108d6cb111a582a5795da14a177c05225a6d003cf472de2609674b6fe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1565",
    "kind": "arxiv",
    "version": 3
  }
}