Pith Number

pith:E5X5O42T

pith:2024:E5X5O42T3N46ILTJGRL36JFLSX

not attested not anchored not stored refs pending

Oscillator Calculus on Coadjoint Orbits and Index Theorems

Andrew Kuzovchikov, Dmitri Bykov, Viacheslav Krivorol

arxiv:2412.21024 v1 · 2024-12-30 · hep-th · math-ph · math.DG · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5X5O42T3N46ILTJGRL36JFLSX}

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	2026-07-05T12:11:14.975754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276fd77353db79e42e693457bf24ab95d72d1699add666d96e2708975854d91a

Aliases

arxiv: 2412.21024 · arxiv_version: 2412.21024v1 · doi: 10.48550/arxiv.2412.21024 · pith_short_12: E5X5O42T3N46 · pith_short_16: E5X5O42T3N46ILTJ · pith_short_8: E5X5O42T

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/E5X5O42T3N46ILTJGRL36JFLSX \
  | 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: 276fd77353db79e42e693457bf24ab95d72d1699add666d96e2708975854d91a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3dc6a1df5f9a4531e31eac4bcf698052efe7f9b155dcf0b45f9fe4246ab198",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-30T15:49:19Z",
    "title_canon_sha256": "f9e430f6c8a880a180202d0094b5815f1580c62aac66a2da05e3192ec25f0038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21024",
    "kind": "arxiv",
    "version": 1
  }
}