Pith Number

pith:XPGRZEUU

pith:2002:XPGRZEUUFHTXAGLNFZXYO6UTS5

not attested not anchored not stored refs pending

Analytic invariant charge: non-perturbative aspects

A.V. Nesterenko

arxiv:hep-ph/0210122 v1 · 2002-10-08 · 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{XPGRZEUUFHTXAGLNFZXYO6UTS5}

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	2026-05-18T00:37:29.158271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbcd1c929429e770196d2e6f877a939774c5d83ba172033a73eca7912288dc4b

Aliases

arxiv: hep-ph/0210122 · arxiv_version: hep-ph/0210122v1 · doi: 10.48550/arxiv.hep-ph/0210122 · pith_short_12: XPGRZEUUFHTX · pith_short_16: XPGRZEUUFHTXAGLN · pith_short_8: XPGRZEUU

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/XPGRZEUUFHTXAGLNFZXYO6UTS5 \
  | 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: bbcd1c929429e770196d2e6f877a939774c5d83ba172033a73eca7912288dc4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a56754264d9106bbb44fe9652ef3bbee968ceaa64a7f4ee78b7352dd904e8fb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-10-08T14:37:15Z",
    "title_canon_sha256": "a3be115d62c27845f6feb2977cfb55435d2e07059b05372d1133ee35807261a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0210122",
    "kind": "arxiv",
    "version": 1
  }
}