Pith Number

pith:KBLKHQ45

pith:1997:KBLKHQ45XJJY2M7BXYSESACXGX

not attested not anchored not stored refs pending

The Thermodynamics of Cosmic String densities in U(1) Scalar Field Theory

Luis M. A. Bettencourt, Mark Hindmarsh, Nuno D. Antunes

arxiv:hep-ph/9708215 v1 · 1997-08-01 · hep-ph · astro-ph · cond-mat · hep-lat · 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{KBLKHQ45XJJY2M7BXYSESACXGX}

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	2026-05-18T01:06:08.647693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5056a3c39dba538d33e1be2449005735cd5825e8a461afc419e0be09c42ce72c

Aliases

arxiv: hep-ph/9708215 · arxiv_version: hep-ph/9708215v1 · doi: 10.48550/arxiv.hep-ph/9708215 · pith_short_12: KBLKHQ45XJJY · pith_short_16: KBLKHQ45XJJY2M7B · pith_short_8: KBLKHQ45

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/KBLKHQ45XJJY2M7BXYSESACXGX \
  | 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: 5056a3c39dba538d33e1be2449005735cd5825e8a461afc419e0be09c42ce72c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166e51d125f7321a081efb4d280663078a4efec0703b90f39575711985c9bc5b",
    "cross_cats_sorted": [
      "astro-ph",
      "cond-mat",
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-08-01T15:47:04Z",
    "title_canon_sha256": "f220db530493d106f53eea8d74a8d891d1c7eba0c0cc63c4994f72111a93547f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9708215",
    "kind": "arxiv",
    "version": 1
  }
}