Pith Number

pith:6AMV3COV

pith:2010:6AMV3COVP4KY2L3M3MGPE24NB5

not attested not anchored not stored refs pending

General formula for symmetry factors of Feynman diagrams

H. N. Long, H. T. Hung, L. T. Hue

arxiv:1011.4142 v2 · 2010-11-18 · 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{6AMV3COVP4KY2L3M3MGPE24NB5}

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.

Cited by

1 paper in Pith

Heavy neutral bosons and dark matter in the 3-3-1 model with axionlike particle

Receipt and verification

First computed	2026-05-18T03:30:54.034453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0195d89d57f158d2f6cdb0cf26b8d0f40b7ec7df7e12d0146d9e307e3c0d146

Aliases

arxiv: 1011.4142 · arxiv_version: 1011.4142v2 · doi: 10.48550/arxiv.1011.4142 · pith_short_12: 6AMV3COVP4KY · pith_short_16: 6AMV3COVP4KY2L3M · pith_short_8: 6AMV3COV

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/6AMV3COVP4KY2L3M3MGPE24NB5 \
  | 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: f0195d89d57f158d2f6cdb0cf26b8d0f40b7ec7df7e12d0146d9e307e3c0d146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a60e23dd28175bbfc318036297f5a1706cc2db16f9542593a43b457a235c41d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-18T06:53:50Z",
    "title_canon_sha256": "c15e38db47b375134ae8e6906418a0a1767656a7ffa1ca4b9f0c8068b256ba8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4142",
    "kind": "arxiv",
    "version": 2
  }
}