Pith Number

pith:H2PFRK4X

pith:2008:H2PFRK4XTGGWJ3NFBEJ6GUPUMR

not attested not anchored not stored refs pending

Integrable structure of melting crystal model with external potentials

Kanehisa Takasaki, Toshio Nakatsu

arxiv:0807.4970 v4 · 2008-07-31 · math-ph · hep-th · math.MP · math.QA · 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{H2PFRK4XTGGWJ3NFBEJ6GUPUMR}

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	2026-05-18T04:14:27.698582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9e58ab97998d64eda50913e351f4647362ae0cc552782e2162191e76ff8a63

Aliases

arxiv: 0807.4970 · arxiv_version: 0807.4970v4 · doi: 10.48550/arxiv.0807.4970 · pith_short_12: H2PFRK4XTGGW · pith_short_16: H2PFRK4XTGGWJ3NF · pith_short_8: H2PFRK4X

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/H2PFRK4XTGGWJ3NFBEJ6GUPUMR \
  | 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: 3e9e58ab97998d64eda50913e351f4647362ae0cc552782e2162191e76ff8a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1318027b201fec73bd08db4a1b4e8ac9e04d839daf78fa02cdf051fe53b90472",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-31T01:50:11Z",
    "title_canon_sha256": "2636fe8810cb3a8b831be8077ad6dffcff39b753ba120092810efda09f231ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4970",
    "kind": "arxiv",
    "version": 4
  }
}