Pith Number

pith:ONE3UYTB

pith:2016:ONE3UYTBF3HXB3FFHJFG4TFUPY

not attested not anchored not stored refs pending

Jacobi complexes on the Ran space

Shintarou Yanagida

arxiv:1608.07472 v1 · 2016-08-26 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONE3UYTBF3HXB3FFHJFG4TFUPY}

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	2026-05-18T01:07:52.958723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7349ba62612ecf70eca53a4a6e4cb47e2bba42efddd9b31352b700d497428888

Aliases

arxiv: 1608.07472 · arxiv_version: 1608.07472v1 · doi: 10.48550/arxiv.1608.07472 · pith_short_12: ONE3UYTBF3HX · pith_short_16: ONE3UYTBF3HXB3FF · pith_short_8: ONE3UYTB

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/ONE3UYTBF3HXB3FFHJFG4TFUPY \
  | 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: 7349ba62612ecf70eca53a4a6e4cb47e2bba42efddd9b31352b700d497428888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530f538da8edbc5fa5d15a73d4d27e774d6d2b5b8c4c88e3212df9302cb09657",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-26T14:26:04Z",
    "title_canon_sha256": "caf3e380a216b7508d0de7f1b8781c520086098e6185cf0d5c6675dd250c7de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07472",
    "kind": "arxiv",
    "version": 1
  }
}