Pith Number

pith:GPKNGVYM

pith:1998:GPKNGVYMAN2QPX6NXCWRBFN6EF

not attested not anchored not stored refs pending

How does the geodesic rule really work for global symmetry breaking first order phase transitions?

Antonio Ferrera

arxiv:hep-ph/9811269 v1 · 1998-11-07 · hep-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{GPKNGVYMAN2QPX6NXCWRBFN6EF}

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	2026-05-18T01:08:00.858785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d4d3570c037507dfcdb8ad1095be216c5b6c463edf489b9ca4f4e3072ecd74

Aliases

arxiv: hep-ph/9811269 · arxiv_version: hep-ph/9811269v1 · doi: 10.48550/arxiv.hep-ph/9811269 · pith_short_12: GPKNGVYMAN2Q · pith_short_16: GPKNGVYMAN2QPX6N · pith_short_8: GPKNGVYM

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/GPKNGVYMAN2QPX6NXCWRBFN6EF \
  | 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: 33d4d3570c037507dfcdb8ad1095be216c5b6c463edf489b9ca4f4e3072ecd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b64ea3f1587960edff59f10357e13f26a8faa5729152955efc081931d3bb33f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-11-07T00:03:59Z",
    "title_canon_sha256": "6953902fbfff64eb8c0a4d700e8aa58b8d020e99714cebe9b7dea0674db78aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9811269",
    "kind": "arxiv",
    "version": 1
  }
}