Pith Number

pith:4FNNWD5T

pith:2001:4FNNWD5TBYMAAEHML3FPDN5XZH

not attested not anchored not stored refs pending

Conformal window and Landau singularities

Georges Grunberg

arxiv:hep-ph/0104098 v2 · 2001-04-10 · hep-ph · 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{4FNNWD5TBYMAAEHML3FPDN5XZH}

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	2026-05-18T01:06:14.940567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15adb0fb30e180010ec5ecaf1b7b7c9f0eee00824f67663c7c3e935527d3b2e

Aliases

arxiv: hep-ph/0104098 · arxiv_version: hep-ph/0104098v2 · doi: 10.48550/arxiv.hep-ph/0104098 · pith_short_12: 4FNNWD5TBYMA · pith_short_16: 4FNNWD5TBYMAAEHM · pith_short_8: 4FNNWD5T

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/4FNNWD5TBYMAAEHML3FPDN5XZH \
  | 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: e15adb0fb30e180010ec5ecaf1b7b7c9f0eee00824f67663c7c3e935527d3b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691b5224a94ef5bbda76b93a35cc511a0d25cc437b35278498f59756bdc633c6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-04-10T16:16:44Z",
    "title_canon_sha256": "bf8bcdd886302d1f3005fe7b3872e517ecb14d3af41cfbee1c12b8556964b2a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0104098",
    "kind": "arxiv",
    "version": 2
  }
}