Pith Number

pith:5YEZFBNH

pith:2026:5YEZFBNHUPXHAQ7VPORNM4BI4I

not attested not anchored not stored refs pending

Critical coupling with zero-mode corrections in discretized light-cone quantized $\phi^4$ theory

James P. Vary, Mamoon A. Sharaf, Shreeram Jawadekar

arxiv:2608.02972 v1 · 2026-08-04 · hep-ph · hep-th · 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{5YEZFBNHUPXHAQ7VPORNM4BI4I}

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	2026-08-05T00:44:17.855779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee099285a7a3ee7043f57ba2d67028e20994148b9a154d9ce2f201f99af3c286

Aliases

arxiv: 2608.02972 · arxiv_version: 2608.02972v1 · doi: 10.48550/arxiv.2608.02972 · pith_short_12: 5YEZFBNHUPXH · pith_short_16: 5YEZFBNHUPXHAQ7V · pith_short_8: 5YEZFBNH

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/5YEZFBNHUPXHAQ7VPORNM4BI4I \
  | 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: ee099285a7a3ee7043f57ba2d67028e20994148b9a154d9ce2f201f99af3c286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8357594ccdff2c97c58a90b535d367adeecf20574d93029236336574449f525a",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-04T00:13:58Z",
    "title_canon_sha256": "b10887acae66af0f11858a04bc505c4c0d554d0ed41b21d586811b7eba306804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02972",
    "kind": "arxiv",
    "version": 1
  }
}