Pith Number

pith:V25SXZTR

pith:2009:V25SXZTR264ACSJSFGCWSWE3ID

not attested not anchored not stored refs pending

Symmetry Factors of Feynman Diagrams for Scalar Fields

H. N. Long, H. T. Hung, L. T. Hue, N. H. Thao, P. V. Dong

arxiv:0907.0859 v2 · 2009-07-05 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V25SXZTR264ACSJSFGCWSWE3ID}

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	2026-05-18T04:31:41.537323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebb2be671d7b8014932298569589b40da7c46c61ccbb9331f5bb1b0fd9260ab

Aliases

arxiv: 0907.0859 · arxiv_version: 0907.0859v2 · doi: 10.48550/arxiv.0907.0859 · pith_short_12: V25SXZTR264A · pith_short_16: V25SXZTR264ACSJS · pith_short_8: V25SXZTR

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/V25SXZTR264ACSJSFGCWSWE3ID \
  | 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: aebb2be671d7b8014932298569589b40da7c46c61ccbb9331f5bb1b0fd9260ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a706d1b3b04dd098d002fc73d11f85de6203ff59ba938f63257965dcb5a0716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-07-05T14:07:05Z",
    "title_canon_sha256": "3cde984f573f00cc25cdcb751d8510d7866da8b83c2a78e3cc3cd50fd39f1630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0859",
    "kind": "arxiv",
    "version": 2
  }
}