Pith Number

pith:Z2XE4WVX

pith:2015:Z2XE4WVX6INTAANIHQMPPKN2GA

not attested not anchored not stored refs pending

Representations of canonical commutation relations describing infinite coherent states

Alain Joye, Marco Merkli

arxiv:1508.02431 v1 · 2015-08-10 · 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{Z2XE4WVX6INTAANIHQMPPKN2GA}

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	2026-05-18T01:15:44.914700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceae4e5ab7f21b3001a83c18f7a9ba30030551b73909385c654ac1db6b74e56f

Aliases

arxiv: 1508.02431 · arxiv_version: 1508.02431v1 · doi: 10.48550/arxiv.1508.02431 · pith_short_12: Z2XE4WVX6INT · pith_short_16: Z2XE4WVX6INTAANI · pith_short_8: Z2XE4WVX

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/Z2XE4WVX6INTAANIHQMPPKN2GA \
  | 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: ceae4e5ab7f21b3001a83c18f7a9ba30030551b73909385c654ac1db6b74e56f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad09b2dfb88764fab70f240409197491e457ed2fff024a33d32d4d71e6f2f16b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-10T21:19:34Z",
    "title_canon_sha256": "511a8e69c512b674403e968b6fa6b216ed2e963e19c936e7b603b192418bcfb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02431",
    "kind": "arxiv",
    "version": 1
  }
}