Pith Number

pith:U2PZ3GEU

pith:1999:U2PZ3GEU5BV5V6L3CF4HELPRGZ

not attested not anchored not stored refs pending

The Fractal Properties of the Source and BEC

G.Wilk, O.V.Utyuzh, Z.Wlodarczyk

arxiv:hep-ph/9910355 v3 · 1999-10-15 · 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{U2PZ3GEU5BV5V6L3CF4HELPRGZ}

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	2026-05-18T04:24:16.654955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69f9d9894e86bdaf97b1178722df13650c58d5222c0658de5aa71adb245609c

Aliases

arxiv: hep-ph/9910355 · arxiv_version: hep-ph/9910355v3 · doi: 10.48550/arxiv.hep-ph/9910355 · pith_short_12: U2PZ3GEU5BV5 · pith_short_16: U2PZ3GEU5BV5V6L3 · pith_short_8: U2PZ3GEU

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/U2PZ3GEU5BV5V6L3CF4HELPRGZ \
  | 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: a69f9d9894e86bdaf97b1178722df13650c58d5222c0658de5aa71adb245609c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1e26710b2299918ff15909e4172963e01578e9133ad4079621b8dc312020a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-15T08:04:48Z",
    "title_canon_sha256": "303b12abb024d59c95d0aa15a0d6d22a2659ef00b91711d37b80bf55ad49ef06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910355",
    "kind": "arxiv",
    "version": 3
  }
}