Pith Number

pith:T726ZYX2

pith:2010:T726ZYX2NU4EBTOVQYB5KDO6LL

not attested not anchored not stored refs pending

Borel summability of $\phi^{4}_{4}$ planar theory via multiscale analysis

Marcello Porta, Sergio Simonella

arxiv:1002.2221 v2 · 2010-02-10 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T726ZYX2NU4EBTOVQYB5KDO6LL}

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	2026-05-18T04:38:48.500750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ff5ece2fa6d3840cdd58603d50dde5aec359736e7d8f5aa3e7918150fdd3b16

Aliases

arxiv: 1002.2221 · arxiv_version: 1002.2221v2 · doi: 10.48550/arxiv.1002.2221 · pith_short_12: T726ZYX2NU4E · pith_short_16: T726ZYX2NU4EBTOV · pith_short_8: T726ZYX2

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/T726ZYX2NU4EBTOVQYB5KDO6LL \
  | 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: 9ff5ece2fa6d3840cdd58603d50dde5aec359736e7d8f5aa3e7918150fdd3b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650bce80ce10418c38ada0f6825ff80a4d497124b17d7a5a8e603937ca471e8a",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-10T21:53:17Z",
    "title_canon_sha256": "b4ecb193d966aa8cbef4edeec8e1f7d6fc33f7d3f2b62327de3ff2102597e29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2221",
    "kind": "arxiv",
    "version": 2
  }
}