Pith Number

pith:Q2GTFKNH

pith:2007:Q2GTFKNHRASSKMJ5VA5HLO6JZL

not attested not anchored not stored refs pending

Multi-Particle Quasi Exactly Solvable Difference Equations

Ryu Sasaki, Satoru Odake

arxiv:0708.0716 v1 · 2007-08-06 · nlin.SI · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2GTFKNHRASSKMJ5VA5HLO6JZL}

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	2026-05-18T02:35:30.653156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868d32a9a7882525313da83a75bbc9caf8e7750401912e09d569c200af98c616

Aliases

arxiv: 0708.0716 · arxiv_version: 0708.0716v1 · doi: 10.48550/arxiv.0708.0716 · pith_short_12: Q2GTFKNHRASS · pith_short_16: Q2GTFKNHRASSKMJ5 · pith_short_8: Q2GTFKNH

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/Q2GTFKNHRASSKMJ5VA5HLO6JZL \
  | 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: 868d32a9a7882525313da83a75bbc9caf8e7750401912e09d569c200af98c616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471c5c09afe7b8e404061a1f7416c2bca83dbeec6d51fb2e11ed158ed097b7d9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2007-08-06T07:55:46Z",
    "title_canon_sha256": "bcd70295e6e9355be8fe168e54024c77832fa230831f2ec73ee19eecc099ea4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0716",
    "kind": "arxiv",
    "version": 1
  }
}