Pith Number

pith:O26MUAVF

pith:2015:O26MUAVFMFK2RY3M2IIL5FOSWA

not attested not anchored not stored refs pending

Spin canonical rings of log stacky curves

Aaron Landesman, Peter Ruhm, Robin Zhang

arxiv:1507.02643 v3 · 2015-07-09 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O26MUAVFMFK2RY3M2IIL5FOSWA}

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	2026-05-17T23:58:08.920828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76bcca02a56155a8e36cd210be95d2b03278f7fb8e7f4836c53e3cf8b08c7cfb

Aliases

arxiv: 1507.02643 · arxiv_version: 1507.02643v3 · doi: 10.48550/arxiv.1507.02643 · pith_short_12: O26MUAVFMFK2 · pith_short_16: O26MUAVFMFK2RY3M · pith_short_8: O26MUAVF

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/O26MUAVFMFK2RY3M2IIL5FOSWA \
  | 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: 76bcca02a56155a8e36cd210be95d2b03278f7fb8e7f4836c53e3cf8b08c7cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684bf7f566486eaf22bcb2ff4139ed922da957d71f6ab56d121616c53e631c2d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-09T18:33:56Z",
    "title_canon_sha256": "fc448c32ebed6e0e67c6967247fcf46bac0076f52f665a12e5b9ec8cb2bf0667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02643",
    "kind": "arxiv",
    "version": 3
  }
}