Pith Number

pith:ZBJIL7HN

pith:2005:ZBJIL7HNLXA6D636ZKGCCO4HID

not attested not anchored not stored refs pending

Generalization of Euler's Summation Formula to Path Integrals

Aleksandar Belic, Aleksandar Bogojevic, Antun Balaz

arxiv:cond-mat/0508710 v2 · 2005-08-29 · cond-mat.stat-mech · hep-th · physics.comp-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{ZBJIL7HNLXA6D636ZKGCCO4HID}

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	2026-05-18T04:16:11.019473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85285fced5dc1e1fb7eca8c213b8740ce747a34c573f056e224b1e8873349a1

Aliases

arxiv: cond-mat/0508710 · arxiv_version: cond-mat/0508710v2 · doi: 10.48550/arxiv.cond-mat/0508710 · pith_short_12: ZBJIL7HNLXA6 · pith_short_16: ZBJIL7HNLXA6D636 · pith_short_8: ZBJIL7HN

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/ZBJIL7HNLXA6D636ZKGCCO4HID \
  | 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: c85285fced5dc1e1fb7eca8c213b8740ce747a34c573f056e224b1e8873349a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4064ff0bb7a2ef924b9e8ba8726b4c6cabd3dae8db2fd7f18bc28149301cc4",
    "cross_cats_sorted": [
      "hep-th",
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-08-29T22:30:36Z",
    "title_canon_sha256": "2a660e6ee73db8c2d38c18f29b8adb0e582d4f024c1a27224b2f5c49e3699236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0508710",
    "kind": "arxiv",
    "version": 2
  }
}