Pith Number

pith:LYFRD23H

pith:2011:LYFRD23HNUBFHIE3L6IRG52RYZ

not attested not anchored not stored refs pending

Noncommutative Phase Spaces by Coadjoint Orbits Method

Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonardt Todjihounde

arxiv:1102.0718 v4 · 2011-02-03 · 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{LYFRD23HNUBFHIE3L6IRG52RYZ}

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	2026-05-18T04:06:07.993886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e0b11eb676d0253a09b5f91137751c66fa15f05e46ef9447be5692b071f09cd

Aliases

arxiv: 1102.0718 · arxiv_version: 1102.0718v4 · doi: 10.48550/arxiv.1102.0718 · pith_short_12: LYFRD23HNUBF · pith_short_16: LYFRD23HNUBFHIE3 · pith_short_8: LYFRD23H

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/LYFRD23HNUBFHIE3L6IRG52RYZ \
  | 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: 5e0b11eb676d0253a09b5f91137751c66fa15f05e46ef9447be5692b071f09cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257de70f3d20c4b1c39b2d596e68c5e15b201c45e60f16a18417e9c84609d63e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-03T16:06:13Z",
    "title_canon_sha256": "f0e0c7c471622153e592f83450f43ec1042558877f9885ff8879bb13dbe4e984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0718",
    "kind": "arxiv",
    "version": 4
  }
}