Pith Number

pith:MAKLYROQ

pith:2002:MAKLYROQAL74E33WH7OSN63MU4

not attested not anchored not stored refs pending

Mixed perturbative expansion: the validity of a model for the cascading

Herve Leblond

arxiv:physics/0211078 v1 · 2002-11-18 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAKLYROQAL74E33WH7OSN63MU4}

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	2026-05-18T01:38:09.100659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6014bc45d002ffc26f763fdd26fb6ca70a32d8a6f891d53a344f26b4568c44c9

Aliases

arxiv: physics/0211078 · arxiv_version: physics/0211078v1 · doi: 10.48550/arxiv.physics/0211078 · pith_short_12: MAKLYROQAL74 · pith_short_16: MAKLYROQAL74E33W · pith_short_8: MAKLYROQ

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/MAKLYROQAL74E33WH7OSN63MU4 \
  | 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: 6014bc45d002ffc26f763fdd26fb6ca70a32d8a6f891d53a344f26b4568c44c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f500843717803b18205893c6c9062adb52b0c052cd19c85f650f8ae7124d8871",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2002-11-18T11:25:33Z",
    "title_canon_sha256": "52d41ba027ed0a0bd153b36563861328114b98b5969220eae1ee2dc8607182e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0211078",
    "kind": "arxiv",
    "version": 1
  }
}