Pith Number

pith:HM6ENGBA

pith:1999:HM6ENGBARSVF5AE3GTKYS5MGSL

not attested not anchored not stored refs pending

Scaling Property of the global string in the radiation dominated universe

Masahide Yamaguchi

arxiv:hep-ph/9907506 v1 · 1999-07-27 · 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{HM6ENGBARSVF5AE3GTKYS5MGSL}

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.

Cited by

1 paper in Pith

The landscape of QCD axion models

Receipt and verification

First computed	2026-05-18T01:06:05.614357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3c4698208caa5e809b34d589758692eec03aa4e742d09c55fe51b93dd61223

Aliases

arxiv: hep-ph/9907506 · arxiv_version: hep-ph/9907506v1 · doi: 10.48550/arxiv.hep-ph/9907506 · pith_short_12: HM6ENGBARSVF · pith_short_16: HM6ENGBARSVF5AE3 · pith_short_8: HM6ENGBA

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/HM6ENGBARSVF5AE3GTKYS5MGSL \
  | 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: 3b3c4698208caa5e809b34d589758692eec03aa4e742d09c55fe51b93dd61223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bee9e62bbfcd8dc6976e222d006d986c90fbbb026df263809a5185dcf42d00f",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-27T01:41:04Z",
    "title_canon_sha256": "05e79dd6cac166638e1fe43bf769ba4cd8929509ba7a512e9d893b43112c794d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907506",
    "kind": "arxiv",
    "version": 1
  }
}