Pith Number

pith:L3S2RUOH

pith:2011:L3S2RUOHMTLMCPJ7MIW262I43H

not attested not anchored not stored refs pending

Much Ado About Something: Why Lieb-Robinson bounds are useful

Bruno Nachtergaele, Robert Sims

arxiv:1102.0835 v1 · 2011-02-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3S2RUOHMTLMCPJ7MIW262I43H}

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	2026-05-18T04:30:03.532541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee5a8d1c764d6c13d3f622daf691cd9ec555ca764dcba4183e68331f5ed78d7

Aliases

arxiv: 1102.0835 · arxiv_version: 1102.0835v1 · doi: 10.48550/arxiv.1102.0835 · pith_short_12: L3S2RUOHMTLM · pith_short_16: L3S2RUOHMTLMCPJ7 · pith_short_8: L3S2RUOH

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/L3S2RUOHMTLMCPJ7MIW262I43H \
  | 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: 5ee5a8d1c764d6c13d3f622daf691cd9ec555ca764dcba4183e68331f5ed78d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c73439756b0b204654a39ce4dbcbfb5cf247e7e7e3e8e0726c7c9b7f08d29fe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-04T04:26:02Z",
    "title_canon_sha256": "77c6948335d99199c592694ba18a39194195ce3e04e2d68451ac3d764826c67b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0835",
    "kind": "arxiv",
    "version": 1
  }
}