Pith Number

pith:3LNMBDQO

pith:1998:3LNMBDQORRGF4LU5C3XDPGO6D4

not attested not anchored not stored refs pending

Decomposition of Time-Ordered Products and Path-Ordered Exponentials

C.S. Lam (McGill University)

arxiv:hep-th/9804181 v1 · 1998-04-28 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LNMBDQORRGF4LU5C3XDPGO6D4}

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	2026-05-18T01:38:36.922813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadac08e0e8c4c5e2e9d16ee3799de1f1fbfd54a7c49ebabd5d52ed3d28944f8

Aliases

arxiv: hep-th/9804181 · arxiv_version: hep-th/9804181v1 · doi: 10.48550/arxiv.hep-th/9804181 · pith_short_12: 3LNMBDQORRGF · pith_short_16: 3LNMBDQORRGF4LU5 · pith_short_8: 3LNMBDQO

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/3LNMBDQORRGF4LU5C3XDPGO6D4 \
  | 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: dadac08e0e8c4c5e2e9d16ee3799de1f1fbfd54a7c49ebabd5d52ed3d28944f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e86703fb0128ee9e3ef706fe01197d8e704faec0e3c3108f280c83cc0b8198a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-04-28T17:03:20Z",
    "title_canon_sha256": "c02d3a98a0f48dae23c7051f41fdbe6f2450122f375f8cbdddec02ffa4d98bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9804181",
    "kind": "arxiv",
    "version": 1
  }
}