Pith Number

pith:5T2TAHQ5

pith:2016:5T2TAHQ5MXGAQE2B765J4LBKEN

not attested not anchored not stored refs pending

Inverse of the flow and moments of the free Jacobi process associated with a single projection

Nizar Demni, Tarek Hamdi

arxiv:1611.00233 v1 · 2016-10-23 · math.PR · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5T2TAHQ5MXGAQE2B765J4LBKEN}

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	2026-05-18T01:00:41.210236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf5301e1d65cc081341ffba9e2c2a237dbf4a41c5eed1472b8acff0ac38f54c

Aliases

arxiv: 1611.00233 · arxiv_version: 1611.00233v1 · doi: 10.48550/arxiv.1611.00233 · pith_short_12: 5T2TAHQ5MXGA · pith_short_16: 5T2TAHQ5MXGAQE2B · pith_short_8: 5T2TAHQ5

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/5T2TAHQ5MXGAQE2B765J4LBKEN \
  | 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: ecf5301e1d65cc081341ffba9e2c2a237dbf4a41c5eed1472b8acff0ac38f54c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afca0c3901245606a54138d2cccad886c2d6de0f83017d8c39efd7bf04c0493a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-23T06:40:36Z",
    "title_canon_sha256": "e673bb6812f94e96bc7cc9e5e30c0b3be6ad81d792c8263962bbaa12662bcb1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00233",
    "kind": "arxiv",
    "version": 1
  }
}