Pith Number

pith:VIZKL4IO

pith:2012:VIZKL4IOM3UGF4OOOVRJSZAOUS

not attested not anchored not stored refs pending

Representation of spectral functions and thermodynamics

A. Jakovac

arxiv:1206.0865 v1 · 2012-06-05 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIZKL4IOM3UGF4OOOVRJSZAOUS}

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	2026-05-18T01:57:07.688031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa32a5f10e66e862f1ce756299640ea498c99bf98b390e97ed1c51c43733fa50

Aliases

arxiv: 1206.0865 · arxiv_version: 1206.0865v1 · doi: 10.48550/arxiv.1206.0865 · pith_short_12: VIZKL4IOM3UG · pith_short_16: VIZKL4IOM3UGF4OO · pith_short_8: VIZKL4IO

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/VIZKL4IOM3UGF4OOOVRJSZAOUS \
  | 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: aa32a5f10e66e862f1ce756299640ea498c99bf98b390e97ed1c51c43733fa50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c608649a602ed15c073b45b59a3230743bb1259845b2e8bf867ad928946656bc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-05T09:57:55Z",
    "title_canon_sha256": "8c8ce159441d1c9980f5411883f1b63d067ad8ee372333ba1289f8113b912b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0865",
    "kind": "arxiv",
    "version": 1
  }
}