Pith Number

pith:FDFISODA

pith:2013:FDFISODAXQT6LQZ3YWNCGJVWA4

not attested not anchored not stored refs pending

Rigged Configurations and Kashiwara Operators

Reiho Sakamoto

arxiv:1302.4562 v3 · 2013-02-19 · 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{FDFISODAXQT6LQZ3YWNCGJVWA4}

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	2026-05-18T02:55:27.748549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ca893860bc27e5c33bc59a2326b6071c2687f0fff0b55a4815ab84ff49543b

Aliases

arxiv: 1302.4562 · arxiv_version: 1302.4562v3 · doi: 10.48550/arxiv.1302.4562 · pith_short_12: FDFISODAXQT6 · pith_short_16: FDFISODAXQT6LQZ3 · pith_short_8: FDFISODA

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/FDFISODAXQT6LQZ3YWNCGJVWA4 \
  | 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: 28ca893860bc27e5c33bc59a2326b6071c2687f0fff0b55a4815ab84ff49543b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c032518b8c8ed524256cd104cb4b9f47eba28b6f1372c02c43eecefb83080845",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-02-19T10:04:36Z",
    "title_canon_sha256": "eca5d71195ad90e4b57b62b0f1551c34b0c6c10a40433a48b46f2c16178a14ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4562",
    "kind": "arxiv",
    "version": 3
  }
}