Pith Number

pith:2ARJGRQD

pith:2002:2ARJGRQD7OE7MB22OOJS266XOF

not attested not anchored not stored refs pending

Geometric Crystal and Tropical R for D^(1)_n

Atsuo Kuniba, Masato Okado, Taichiro Takagi, Yasuhiko Yamada

arxiv:math/0208239 v1 · 2002-08-30 · math.QA · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ARJGRQD7OE7MB22OOJS266XOF}

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	2026-05-18T00:02:37.030574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d022934603fb89f6075a73932d7bd7716f5832333ec077404a298650f9280edc

Aliases

arxiv: math/0208239 · arxiv_version: math/0208239v1 · doi: 10.48550/arxiv.math/0208239 · pith_short_12: 2ARJGRQD7OE7 · pith_short_16: 2ARJGRQD7OE7MB22 · pith_short_8: 2ARJGRQD

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/2ARJGRQD7OE7MB22OOJS266XOF \
  | 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: d022934603fb89f6075a73932d7bd7716f5832333ec077404a298650f9280edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4e3f5e698e09910d371a3124bf507b53b637993564132dd0aa543f16529035",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-08-30T05:35:51Z",
    "title_canon_sha256": "1368da86d94c2f34774c34e5a981b56d31384054bac3dcb0065f0998de609099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208239",
    "kind": "arxiv",
    "version": 1
  }
}