Pith Number

pith:7G3OF7PI

pith:2005:7G3OF7PIRKWYYNCDFEHLS7R77V

not attested not anchored not stored refs pending

The Threshold effects for the two-particle Hamiltonians on lattices

Konstantin A. Makarov, Saidakhmat N. Lakaev, Sergio Albeverio, Zahriddin I. Muminov

arxiv:math-ph/0501013 v1 · 2005-01-06 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7G3OF7PIRKWYYNCDFEHLS7R77V}

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	2026-05-18T01:05:30.169927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b6e2fde88aad8c3443290eb97e3ffd55773f809709224498ddb00d8deec3a5

Aliases

arxiv: math-ph/0501013 · arxiv_version: math-ph/0501013v1 · doi: 10.48550/arxiv.math-ph/0501013 · pith_short_12: 7G3OF7PIRKWY · pith_short_16: 7G3OF7PIRKWYYNCD · pith_short_8: 7G3OF7PI

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/7G3OF7PIRKWYYNCDFEHLS7R77V \
  | 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: f9b6e2fde88aad8c3443290eb97e3ffd55773f809709224498ddb00d8deec3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aea944fd846c56dc70f073ea9b7312a72612eacf8c4610e5d72f5c1593e4a6a",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-01-06T18:32:06Z",
    "title_canon_sha256": "e67cb5db9c0930687897d9d2d58833287333f8538f1165bd0f5e25e7651548e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0501013",
    "kind": "arxiv",
    "version": 1
  }
}