Pith. sign in
Pith Number

pith:FSADPZJ3

pith:1997:FSADPZJ3HMLXRR5CH5JIGAG2XS
not attested not anchored not stored refs pending

Fracture functions from cut vertices

G. Veneziano, L. Trentadue, M. Grazzini

arxiv:hep-ph/9709452 v1 · 1997-09-25 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FSADPZJ3HMLXRR5CH5JIGAG2XS}

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

Receipt and verification
First computed 2026-07-04T16:05:13.900193Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2c8037e53b3b1778c7a23f528300dabc81891f8219b6e7a321c97feed4b7ac89

Aliases

arxiv: hep-ph/9709452 · arxiv_version: hep-ph/9709452v1 · doi: 10.48550/arxiv.hep-ph/9709452 · pith_short_12: FSADPZJ3HMLX · pith_short_16: FSADPZJ3HMLXRR5C · pith_short_8: FSADPZJ3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FSADPZJ3HMLXRR5CH5JIGAG2XS \
  | 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: 2c8037e53b3b1778c7a23f528300dabc81891f8219b6e7a321c97feed4b7ac89
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4cd5c4beba01f00209519d03088eba3aa1c5eae40abbd5edd8371a3528b16415",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-09-25T10:04:10Z",
    "title_canon_sha256": "b0dc0a91536d6d33e54d5351f8ff520c42c2b4b6ee7978c969559694857e400f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9709452",
    "kind": "arxiv",
    "version": 1
  }
}