Pith Number

pith:ZDWZF4LL

pith:2013:ZDWZF4LLPUW3SZOS2DMK6NPMVT

not attested not anchored not stored refs pending

Lifshitz asymptotics for percolation Hamiltonians

Ivan Veseli\'c, Peter Stollmann, Reza Samavat

arxiv:1308.1842 v2 · 2013-08-08 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDWZF4LLPUW3SZOS2DMK6NPMVT}

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	2026-05-18T01:23:30.039126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ed92f16b7d2db965d2d0d8af35ecaceff307d7af00bb3f5f4ccb43f33d6e28

Aliases

arxiv: 1308.1842 · arxiv_version: 1308.1842v2 · doi: 10.48550/arxiv.1308.1842 · pith_short_12: ZDWZF4LLPUW3 · pith_short_16: ZDWZF4LLPUW3SZOS · pith_short_8: ZDWZF4LL

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/ZDWZF4LLPUW3SZOS2DMK6NPMVT \
  | 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: c8ed92f16b7d2db965d2d0d8af35ecaceff307d7af00bb3f5f4ccb43f33d6e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185acad3886b74d826a9a2cae1ae479d9df677ab5b5690b9086dee85b701dfbc",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-08T13:22:26Z",
    "title_canon_sha256": "f04b7b23323bb717bdde2b36c4b06ce3274de4bff068d4350ea88baf5cfdd7f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1842",
    "kind": "arxiv",
    "version": 2
  }
}