Pith Number

pith:RRQYDN2K

pith:2010:RRQYDN2KLUVGDXW7ENKIMKUKXK

not attested not anchored not stored refs pending

Higgsless Electroweak Model and Contraction of Gauge Group

N.A. Gromov

arxiv:1002.4974 v1 · 2010-02-26 · math-ph · hep-ph · 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{RRQYDN2KLUVGDXW7ENKIMKUKXK}

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	2026-05-18T02:08:48.944836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c6181b74a5d2a61dedf2354862a8abaaa3133194ec92efd9cad7a42d26543ce

Aliases

arxiv: 1002.4974 · arxiv_version: 1002.4974v1 · doi: 10.48550/arxiv.1002.4974 · pith_short_12: RRQYDN2KLUVG · pith_short_16: RRQYDN2KLUVGDXW7 · pith_short_8: RRQYDN2K

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/RRQYDN2KLUVGDXW7ENKIMKUKXK \
  | 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: 8c6181b74a5d2a61dedf2354862a8abaaa3133194ec92efd9cad7a42d26543ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480db00a60808e0620c766b65d186f5aeb5094044f4b7a2af08ebbae1d7abac4",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-26T12:27:03Z",
    "title_canon_sha256": "11a5f7e70b8a97062dd3ab171085ed38567086382f4bda3574c010cb275e0187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4974",
    "kind": "arxiv",
    "version": 1
  }
}