Pith Number

pith:75JBUGUZ

pith:2015:75JBUGUZKTGTZWV6TFWHXRYPGL

not attested not anchored not stored refs pending

The $F$-different and a canonical bundle formula

Karl Schwede, Omprokash Das

arxiv:1508.07295 v2 · 2015-08-28 · math.AG · 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{75JBUGUZKTGTZWV6TFWHXRYPGL}

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	2026-05-17T23:42:43.856111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff521a1a9954cd3cdabe996c7bc70f32f0cef0f00ace58215d9b1fc27c84da5d

Aliases

arxiv: 1508.07295 · arxiv_version: 1508.07295v2 · doi: 10.48550/arxiv.1508.07295 · pith_short_12: 75JBUGUZKTGT · pith_short_16: 75JBUGUZKTGTZWV6 · pith_short_8: 75JBUGUZ

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/75JBUGUZKTGTZWV6TFWHXRYPGL \
  | 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: ff521a1a9954cd3cdabe996c7bc70f32f0cef0f00ace58215d9b1fc27c84da5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5633641f9edf9a5d543d0d3fdea9e6d33bbe2d952ec8427a074880c756f2c3a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-28T17:58:33Z",
    "title_canon_sha256": "185178d958ece20e6193b3868980606bdabd010a08828036bbaaaa2f5fd25d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07295",
    "kind": "arxiv",
    "version": 2
  }
}