Pith Number

pith:QDIFJMXZ

pith:2012:QDIFJMXZIBTABPYNJ75YRMTAP6

not attested not anchored not stored refs pending

On the spectral distribution of the free Jacobi process

Nizar Demni, Taoufik Hmidi, Tarek Hamdi

arxiv:1204.6227 v2 · 2012-04-27 · 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{QDIFJMXZIBTABPYNJ75YRMTAP6}

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	2026-05-18T03:51:35.165723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d054b2f9406600bf0d4ffb88b2607fbadf4ef9b7ee2f719a6f9832fd634e1b

Aliases

arxiv: 1204.6227 · arxiv_version: 1204.6227v2 · doi: 10.48550/arxiv.1204.6227 · pith_short_12: QDIFJMXZIBTA · pith_short_16: QDIFJMXZIBTABPYN · pith_short_8: QDIFJMXZ

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/QDIFJMXZIBTABPYNJ75YRMTAP6 \
  | 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: 80d054b2f9406600bf0d4ffb88b2607fbadf4ef9b7ee2f719a6f9832fd634e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be008fc667df240af9228c731bd026d381e791e38b4dc0219c7a2fc4553e00a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-04-27T14:31:57Z",
    "title_canon_sha256": "c88cff18995c09419c3bb4b9ddc01f30e244b94538543dee45e717275169d0b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6227",
    "kind": "arxiv",
    "version": 2
  }
}