Pith Number

pith:U6TKNDFM

pith:1999:U6TKNDFM7QXMDGJKSX2RCIRZYB

not attested not anchored not stored refs pending

Large Scale (Multiphoton) Evolution of Atomic Energy Level's Mean Momentum for Single-Photon Absorption/Emission Process

A. Zh. Muradyan, H. L. Haroutyunyan

arxiv:physics/9909050 v1 · 1999-09-23 · physics.atom-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{U6TKNDFM7QXMDGJKSX2RCIRZYB}

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	2026-07-04T14:45:03.823843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a6a68cacfc2ec1992a95f5112239c059b96edda8ebd7904012014763a9d227

Aliases

arxiv: physics/9909050 · arxiv_version: physics/9909050v1 · doi: 10.48550/arxiv.physics/9909050 · pith_short_12: U6TKNDFM7QXM · pith_short_16: U6TKNDFM7QXMDGJK · pith_short_8: U6TKNDFM

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/U6TKNDFM7QXMDGJKSX2RCIRZYB \
  | 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: a7a6a68cacfc2ec1992a95f5112239c059b96edda8ebd7904012014763a9d227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3421b6397950aa5d434b1a7f8be959c4974310d1414d875874118571709de76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "1999-09-23T16:42:53Z",
    "title_canon_sha256": "708bae12bc5f82d4c858d9a9b601c587bc1de81b622a946e23f179d6b0d7ed72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9909050",
    "kind": "arxiv",
    "version": 1
  }
}