Pith Number

pith:EBJ5NZGA

pith:2004:EBJ5NZGAK6RPYRPRSTIARIAZHG

not attested not anchored not stored refs pending

The gapless 2SC phase

Igor A. Shovkovy, Mei Huang

arxiv:hep-ph/0408325 v3 · 2004-08-29 · 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{EBJ5NZGAK6RPYRPRSTIARIAZHG}

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	2026-05-18T00:36:56.253836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2053d6e4c057a2fc45f194d008a01939ba58fb6005fddfc651691b3853d31811

Aliases

arxiv: hep-ph/0408325 · arxiv_version: hep-ph/0408325v3 · doi: 10.48550/arxiv.hep-ph/0408325 · pith_short_12: EBJ5NZGAK6RP · pith_short_16: EBJ5NZGAK6RPYRPR · pith_short_8: EBJ5NZGA

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/EBJ5NZGAK6RPYRPRSTIARIAZHG \
  | 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: 2053d6e4c057a2fc45f194d008a01939ba58fb6005fddfc651691b3853d31811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf9312f3fe42aad18b9c00a2ccd08c5c4f90ccbe249b4b535c9e9f271a6f041",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-08-29T15:33:46Z",
    "title_canon_sha256": "0130be1846d94f1d688537d816669e16663481063016205318b370495ca292e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0408325",
    "kind": "arxiv",
    "version": 3
  }
}