Pith Number

pith:7HF5P2I6

pith:2012:7HF5P2I6DYMQXCYHRFZS67I4DZ

not attested not anchored not stored refs pending

Lieb-Robinson Bounds for the Toda Lattice

Gerald Teschl, Robert Sims, Umar Islambekov

arxiv:1204.5278 v2 · 2012-04-24 · 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{7HF5P2I6DYMQXCYHRFZS67I4DZ}

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	2026-05-18T03:48:13.384125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9cbd7e91e1e190b8b0789732f7d1c1e5abced1e17a500f23fca43c9be8ed9af

Aliases

arxiv: 1204.5278 · arxiv_version: 1204.5278v2 · doi: 10.48550/arxiv.1204.5278 · pith_short_12: 7HF5P2I6DYMQ · pith_short_16: 7HF5P2I6DYMQXCYH · pith_short_8: 7HF5P2I6

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/7HF5P2I6DYMQXCYHRFZS67I4DZ \
  | 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: f9cbd7e91e1e190b8b0789732f7d1c1e5abced1e17a500f23fca43c9be8ed9af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637126bd8800dda0bdf0478689ff38600b3f77c5f3254e73479d3a377bc21b3c",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-24T06:41:35Z",
    "title_canon_sha256": "3a6c24ccd004cc69ac727fcae23eccf1ee7136e6dd064bd86aa144cb3730f50b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5278",
    "kind": "arxiv",
    "version": 2
  }
}