Pith Number

pith:KPDSN44A

pith:2013:KPDSN44A7R4VUUI2FIBJIK6I4S

not attested not anchored not stored refs pending

Decorated Geometric Crystals and Polyhedral Realizations of type D_n

Toshiki Nakashima

arxiv:1308.0981 v1 · 2013-08-05 · math.QA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPDSN44A7R4VUUI2FIBJIK6I4S}

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	2026-05-18T03:16:40.993662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c726f380fc795a511a2a02942bc8e489c6ca05c8f27c06ad5824208ac8df22

Aliases

arxiv: 1308.0981 · arxiv_version: 1308.0981v1 · doi: 10.48550/arxiv.1308.0981 · pith_short_12: KPDSN44A7R4V · pith_short_16: KPDSN44A7R4VUUI2 · pith_short_8: KPDSN44A

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/KPDSN44A7R4VUUI2FIBJIK6I4S \
  | 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: 53c726f380fc795a511a2a02942bc8e489c6ca05c8f27c06ad5824208ac8df22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e232ed2c98d737f25deaccc28097348310e8e46edec1b79c9f6721132ac70bcb",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-05T13:43:23Z",
    "title_canon_sha256": "f1482dc8e4d74b4eadf16b8daadd484ed3cdb271e9aa5659b1a8fd983adc1405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0981",
    "kind": "arxiv",
    "version": 1
  }
}