Pith Number

pith:ROTAASRN

pith:2013:ROTAASRNYHAT3OF4G4NX2CECPV

not attested not anchored not stored refs pending

A renormalization group method by harmonic extensions and the classical dipole gas

Hao Shen

arxiv:1311.2305 v2 · 2013-11-10 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROTAASRNYHAT3OF4G4NX2CECPV}

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	2026-05-18T02:31:21.570642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ba6004a2dc1c13db8bc371b7d08827d7f2a5b0385dbfe221aec0550bafc0d1e

Aliases

arxiv: 1311.2305 · arxiv_version: 1311.2305v2 · doi: 10.48550/arxiv.1311.2305 · pith_short_12: ROTAASRNYHAT · pith_short_16: ROTAASRNYHAT3OF4 · pith_short_8: ROTAASRN

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/ROTAASRNYHAT3OF4G4NX2CECPV \
  | 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: 8ba6004a2dc1c13db8bc371b7d08827d7f2a5b0385dbfe221aec0550bafc0d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9474bd7a65db23a4c60c039f142c70d84c7d1070c49896e588aa7f31c97d6ad5",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-10T21:08:34Z",
    "title_canon_sha256": "c03036d350a4dcf51fa6087ae50a97e026faf15539cc629fab2f49c0731c2ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2305",
    "kind": "arxiv",
    "version": 2
  }
}