Pith Number

pith:B3PPOW3F

pith:2014:B3PPOW3FNIVNEFWWOZ65YIIUCD

not attested not anchored not stored refs pending

Commuting difference operators and the combinatorial Gale transform

I. Krichever

arxiv:1403.4629 v1 · 2014-03-18 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3PPOW3FNIVNEFWWOZ65YIIUCD}

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	2026-05-18T02:56:04.747448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0edef75b656a2ad216d6767ddc211410e8541fa8dc1829adf4c7e3f2bbd9c905

Aliases

arxiv: 1403.4629 · arxiv_version: 1403.4629v1 · doi: 10.48550/arxiv.1403.4629 · pith_short_12: B3PPOW3FNIVN · pith_short_16: B3PPOW3FNIVNEFWW · pith_short_8: B3PPOW3F

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/B3PPOW3FNIVNEFWWOZ65YIIUCD \
  | 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: 0edef75b656a2ad216d6767ddc211410e8541fa8dc1829adf4c7e3f2bbd9c905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a006d854d6ffd6f50c19cf800e8784528a450688602831bffc61c2aba5b4181",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-18T22:09:49Z",
    "title_canon_sha256": "d43ee794f8aa29c3718d30d7959f028dd225643b9abf95d489fedc246832a931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4629",
    "kind": "arxiv",
    "version": 1
  }
}