Pith Number

pith:N2NMTMQE

pith:1999:N2NMTMQE2GAF4VHXTKTDVWOF7Y

not attested not anchored not stored refs pending

Time Ordering, Energy Ordering, and Factorization

C.S. Lam

arxiv:hep-ph/9907490 v1 · 1999-07-26 · hep-ph · 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{N2NMTMQE2GAF4VHXTKTDVWOF7Y}

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	2026-05-18T01:38:55.896675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9ac9b204d1805e54f79aa63ad9c5fe025562191e3b5e45af939fcf00c94161

Aliases

arxiv: hep-ph/9907490 · arxiv_version: hep-ph/9907490v1 · doi: 10.48550/arxiv.hep-ph/9907490 · pith_short_12: N2NMTMQE2GAF · pith_short_16: N2NMTMQE2GAF4VHX · pith_short_8: N2NMTMQE

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/N2NMTMQE2GAF4VHXTKTDVWOF7Y \
  | 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: 6e9ac9b204d1805e54f79aa63ad9c5fe025562191e3b5e45af939fcf00c94161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa604b40ef928152060d6dab99259f25acdfac73172a238ac8dcc943db0725ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-26T14:15:48Z",
    "title_canon_sha256": "2c116d997bfe3c9b0d667bd6fcae7574ba915dce571c7a887879cae5c92a0f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907490",
    "kind": "arxiv",
    "version": 1
  }
}