Pith Number

pith:4A5BSOLT

pith:2012:4A5BSOLTMUREEJOGIGWVLUUZCA

not attested not anchored not stored refs pending

On the combinatorial structure of crystals of types A,B,C

Alexander Karzanov, Gleb Koshevoy, Vladimir Danilov

arxiv:1201.4549 v3 · 2012-01-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4A5BSOLTMUREEJOGIGWVLUUZCA}

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	2026-05-18T03:48:44.983375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03a19397365224225c641ad55d2991013ba398853f3a855ac2eaa5151718d54

Aliases

arxiv: 1201.4549 · arxiv_version: 1201.4549v3 · doi: 10.48550/arxiv.1201.4549 · pith_short_12: 4A5BSOLTMURE · pith_short_16: 4A5BSOLTMUREEJOG · pith_short_8: 4A5BSOLT

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/4A5BSOLTMUREEJOGIGWVLUUZCA \
  | 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: e03a19397365224225c641ad55d2991013ba398853f3a855ac2eaa5151718d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82ff76c900eb0b41028820e28dd7643d297f220b82879114eab0cbbce8adc92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-22T11:04:27Z",
    "title_canon_sha256": "3a5c4c6531d5c28f63ba64c3204bdf1e4976644053618f9f30eafd6add3afaa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4549",
    "kind": "arxiv",
    "version": 3
  }
}