Pith Number

pith:BKRGBRLJ

pith:1999:BKRGBRLJMHLOOK7XXFAANCRYUN

not attested not anchored not stored refs pending

Evolution of a global string network in a matter dominated universe

Jun'ichi Yokoyama, Masahide Yamaguchi, M. Kawasaki

arxiv:hep-ph/9910352 v2 · 1999-10-15 · 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{BKRGBRLJMHLOOK7XXFAANCRYUN}

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	2026-07-04T17:18:28.148473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa260c56961d6e72bf7b940068a38a36def49d7fed5c8325061ad4016e3766a

Aliases

arxiv: hep-ph/9910352 · arxiv_version: hep-ph/9910352v2 · doi: 10.48550/arxiv.hep-ph/9910352 · pith_short_12: BKRGBRLJMHLO · pith_short_16: BKRGBRLJMHLOOK7X · pith_short_8: BKRGBRLJ

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/BKRGBRLJMHLOOK7XXFAANCRYUN \
  | 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: 0aa260c56961d6e72bf7b940068a38a36def49d7fed5c8325061ad4016e3766a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f41e79b0b9e0c3da2fb57d019771647e6347c57959cee9608c06d69f9e935a3",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-15T01:44:43Z",
    "title_canon_sha256": "867f5e0a9f9c3e42c1524c61ad4e81f9b2933985a0059b18d2761b0bb63b9410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910352",
    "kind": "arxiv",
    "version": 2
  }
}