Pith Number

pith:GUNAXA4E

pith:1999:GUNAXA4E3L2E7JIAKY2ED2BAN4

not attested not anchored not stored refs pending

The Physics of Instantons in the pseudoscalar and vector meson mixing

Gerard 't Hooft

arxiv:hep-th/9903189 v3 · 1999-03-22 · hep-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{GUNAXA4E3L2E7JIAKY2ED2BAN4}

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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

Study of the scalar and pseudoscalar meson mass spectrum above the QCD chiral phase transition, using an effective Lagrangian approach

Receipt and verification

First computed	2026-07-04T14:33:21.033243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351a0b8384daf44fa500563441e8206f25e00c4cc00fca2a1460d5f14d4218ea

Aliases

arxiv: hep-th/9903189 · arxiv_version: hep-th/9903189v3 · doi: 10.48550/arxiv.hep-th/9903189 · pith_short_12: GUNAXA4E3L2E · pith_short_16: GUNAXA4E3L2E7JIA · pith_short_8: GUNAXA4E

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/GUNAXA4E3L2E7JIAKY2ED2BAN4 \
  | 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: 351a0b8384daf44fa500563441e8206f25e00c4cc00fca2a1460d5f14d4218ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130674f4a23c61c6ca43012e173464938f5fb3ee9cb544735dbce4864ff6f62c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-22T17:12:04Z",
    "title_canon_sha256": "e298650604694e37115ed408beb1bb975900129f19bff74cf158cb571bc9f529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903189",
    "kind": "arxiv",
    "version": 3
  }
}