Pith Number

pith:ZW77K3YL

pith:1996:ZW77K3YL7SOHO7RI44VGUXLDJI

not attested not anchored not stored refs pending

Geometric Construction of Crystal Bases

Masaki Kashiwara, Yoshihisa Saito

arxiv:q-alg/9606009 v1 · 1996-06-08 · q-alg · 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{ZW77K3YL7SOHO7RI44VGUXLDJI}

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	2026-05-18T01:23:59.371651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdbff56f0bfc9c777e28e72a6a5d634a35199f1501274e4e0979df9c35b2fe0a

Aliases

arxiv: q-alg/9606009 · arxiv_version: q-alg/9606009v1 · doi: 10.48550/arxiv.q-alg/9606009 · pith_short_12: ZW77K3YL7SOH · pith_short_16: ZW77K3YL7SOHO7RI · pith_short_8: ZW77K3YL

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/ZW77K3YL7SOHO7RI44VGUXLDJI \
  | 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: cdbff56f0bfc9c777e28e72a6a5d634a35199f1501274e4e0979df9c35b2fe0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f8f8de7d68587b35e98dfd594f21f635db08c81deb5423d4f3fa7a03830663",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-06-08T06:36:52Z",
    "title_canon_sha256": "f01b7b96318af6ea32767595ecfac17712e9c5626f408460c89a4bd99982a208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9606009",
    "kind": "arxiv",
    "version": 1
  }
}