Pith Number

pith:PHVWPBPM

pith:1997:PHVWPBPMKWVRNSODXUXG7XNUWM

not attested not anchored not stored refs pending

Numerical approach to the onset of the electroweak phase transition

Jun'ichi Yokoyama, Masahide Yamaguchi

arxiv:hep-ph/9707502 v2 · 1997-07-29 · hep-ph · astro-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{PHVWPBPMKWVRNSODXUXG7XNUWM}

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	2026-07-04T16:05:09.545723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79eb6785ec55ab16c9c3bd2e6fddb4b300c67aac61fd9160ad4e90656c43f004

Aliases

arxiv: hep-ph/9707502 · arxiv_version: hep-ph/9707502v2 · doi: 10.48550/arxiv.hep-ph/9707502 · pith_short_12: PHVWPBPMKWVR · pith_short_16: PHVWPBPMKWVRNSOD · pith_short_8: PHVWPBPM

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/PHVWPBPMKWVRNSODXUXG7XNUWM \
  | 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: 79eb6785ec55ab16c9c3bd2e6fddb4b300c67aac61fd9160ad4e90656c43f004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb722976615a3798673fb0568bc53b25945bac980bacb056ccf81c0f2faba8d7",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-07-29T07:20:13Z",
    "title_canon_sha256": "caa53392cc71f4f3068b920c6a1a2b091d6ad73b13f91b2d4cff75ae2137cd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9707502",
    "kind": "arxiv",
    "version": 2
  }
}