Pith Number

pith:P2BQ3DTF

pith:2013:P2BQ3DTF4OTTHDX4PAUNCK7UNU

not attested not anchored not stored refs pending

Hamiltonian dynamics of a quantum of space: hidden symmetries and spectrum of the volume operator, and discrete orthogonal polynomials

Annalisa Marzuoli, Dimitri Marinelli, Vincenzo Aquilanti

arxiv:1301.1949 v1 · 2013-01-09 · quant-ph · gr-qc · 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{P2BQ3DTF4OTTHDX4PAUNCK7UNU}

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	2026-05-18T03:09:50.341710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e830d8e65e3a7338efc7828d12bf46d0d5ee414de34415a6bd97679c2c200a1

Aliases

arxiv: 1301.1949 · arxiv_version: 1301.1949v1 · doi: 10.48550/arxiv.1301.1949 · pith_short_12: P2BQ3DTF4OTT · pith_short_16: P2BQ3DTF4OTTHDX4 · pith_short_8: P2BQ3DTF

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/P2BQ3DTF4OTTHDX4PAUNCK7UNU \
  | 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: 7e830d8e65e3a7338efc7828d12bf46d0d5ee414de34415a6bd97679c2c200a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56471abde9cfc42fcd86ee94a33da60852a0de530b8e1a75998f599a65697c1b",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-09T19:14:39Z",
    "title_canon_sha256": "46939f13b89854257851f2c5c01143aad28d0aa3c9f806b03a49ab3e36a94037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1949",
    "kind": "arxiv",
    "version": 1
  }
}