Pith Number

pith:B3WOLTRE

pith:1999:B3WOLTREXIOVNJ234QRLLWUE4I

not attested not anchored not stored refs pending

Quark Description of Hadronic Phases

Frank Wilczek (IAS, Princeton), Thomas Schaefer

arxiv:hep-ph/9903503 v1 · 1999-03-26 · hep-ph · nucl-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3WOLTREXIOVNJ234QRLLWUE4I}

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	2026-07-04T16:14:13.520771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eece5ce24ba1d56a75be422b5da84e22f709f3eb9faed1a1c16f475d5eff79c

Aliases

arxiv: hep-ph/9903503 · arxiv_version: hep-ph/9903503v1 · doi: 10.48550/arxiv.hep-ph/9903503 · pith_short_12: B3WOLTREXIOV · pith_short_16: B3WOLTREXIOVNJ23 · pith_short_8: B3WOLTRE

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/B3WOLTREXIOVNJ234QRLLWUE4I \
  | 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: 0eece5ce24ba1d56a75be422b5da84e22f709f3eb9faed1a1c16f475d5eff79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f987058075ef5ba891b1a52d55949fa62d133293f63cd4eba72671f58535138a",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-03-26T20:19:41Z",
    "title_canon_sha256": "eb88ded7fb6952c8bcd0b90790d450e7e611945220a114adcb1cd9e04a99db85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9903503",
    "kind": "arxiv",
    "version": 1
  }
}