Pith Number

pith:O7AJEJKA

pith:2011:O7AJEJKAGDT5JDJLR2XROF5ITB

not attested not anchored not stored refs pending

Some degenerations of $G_2$ and Calabi-Yau varieties

Michal Kapustka

arxiv:1103.4623 v1 · 2011-03-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7AJEJKAGDT5JDJLR2XROF5ITB}

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	2026-05-18T04:26:01.217480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c092254030e7d48d2b8eaf1717a8987eb654083f0af007ca1f82d645930e7c

Aliases

arxiv: 1103.4623 · arxiv_version: 1103.4623v1 · doi: 10.48550/arxiv.1103.4623 · pith_short_12: O7AJEJKAGDT5 · pith_short_16: O7AJEJKAGDT5JDJL · pith_short_8: O7AJEJKA

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/O7AJEJKAGDT5JDJLR2XROF5ITB \
  | 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: 77c092254030e7d48d2b8eaf1717a8987eb654083f0af007ca1f82d645930e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb01f6e2ba685fd223fe87ecd8243cc8efff592b52cd702fe8ddc0cd8f06cc5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-23T20:34:09Z",
    "title_canon_sha256": "7d57ef4bc5f99e1a83cbfd30c98902d25248f10e1053d70fb84b493cafc84bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4623",
    "kind": "arxiv",
    "version": 1
  }
}