Pith Number

pith:VSHFHM4O

pith:2014:VSHFHM4O6JD7HDOYTYGUZZXTDR

not attested not anchored not stored refs pending

On Volterra and orthoganality preserving quadratic stochastic operators

Farrukh Mukhamedov, Muhammad Hafizuddin Bin Mohd Taha

arxiv:1401.3114 v1 · 2014-01-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSHFHM4O6JD7HDOYTYGUZZXTDR}

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	2026-05-18T00:38:12.064345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8e53b38ef247f38dd89e0d4ce6f31c46ff5f4b5cc2f77c8a5e5cabd4494964

Aliases

arxiv: 1401.3114 · arxiv_version: 1401.3114v1 · doi: 10.48550/arxiv.1401.3114 · pith_short_12: VSHFHM4O6JD7 · pith_short_16: VSHFHM4O6JD7HDOY · pith_short_8: VSHFHM4O

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/VSHFHM4O6JD7HDOYTYGUZZXTDR \
  | 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: ac8e53b38ef247f38dd89e0d4ce6f31c46ff5f4b5cc2f77c8a5e5cabd4494964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a1c9e9fec55827af5bf3e8e15bf81c458a8d2db9e10a8148fae16c431fa747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-14T09:40:53Z",
    "title_canon_sha256": "a31308b94b9db68ce6355f0cbf6e266bf3e98f977800b8934a991fb60ff0b937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3114",
    "kind": "arxiv",
    "version": 1
  }
}