Pith Number

pith:VGJQOIZL

pith:2013:VGJQOIZL4WRD7PRKUDREFU7WXK

not attested not anchored not stored refs pending

Mixing properties of the one-atom maser

Laurent Bruneau

arxiv:1312.6521 v1 · 2013-12-23 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGJQOIZL4WRD7PRKUDREFU7WXK}

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	2026-05-18T01:45:42.529815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99307232be5a23fbe2aa0e242d3f6ba8c0c2c8348ece932a01b802257e61bca

Aliases

arxiv: 1312.6521 · arxiv_version: 1312.6521v1 · doi: 10.48550/arxiv.1312.6521 · pith_short_12: VGJQOIZL4WRD · pith_short_16: VGJQOIZL4WRD7PRK · pith_short_8: VGJQOIZL

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/VGJQOIZL4WRD7PRKUDREFU7WXK \
  | 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: a99307232be5a23fbe2aa0e242d3f6ba8c0c2c8348ece932a01b802257e61bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44404f581b93601123469a96e5f29860874a91efab7e316c73b03f23a31ae6f",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-23T11:21:08Z",
    "title_canon_sha256": "e7a1f2a87bd5971e099591defb8f771e785f1e4424e39888363ca2868df32945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6521",
    "kind": "arxiv",
    "version": 1
  }
}