Pith Number

pith:GFWFALPY

pith:2011:GFWFALPYUPB5ASDMHSRMND6X3J

not attested not anchored not stored refs pending

Renormalization Group and Problem of Radiation

I. M. Sigal

arxiv:1110.3841 v2 · 2011-10-17 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFWFALPYUPB5ASDMHSRMND6X3J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:17:12.180736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316c502df8a3c3d0486c3ca2c68fd7da674f5631641b0130251c3454604e3ee6

Aliases

arxiv: 1110.3841 · arxiv_version: 1110.3841v2 · doi: 10.48550/arxiv.1110.3841 · pith_short_12: GFWFALPYUPB5 · pith_short_16: GFWFALPYUPB5ASDM · pith_short_8: GFWFALPY

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/GFWFALPYUPB5ASDMHSRMND6X3J \
  | 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: 316c502df8a3c3d0486c3ca2c68fd7da674f5631641b0130251c3454604e3ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e13080b60878e377ada8e227a329413a55c4516066c37058d8efe39a0d0682",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-17T22:34:53Z",
    "title_canon_sha256": "8b860f7f46972301a1989c71aebc077bdbf18b075247eeaedd95ee95e68b66ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3841",
    "kind": "arxiv",
    "version": 2
  }
}