Pith Number

pith:2YGKOFFY

pith:2014:2YGKOFFY4IYDHKLV63EGYRFSGC

not attested not anchored not stored refs pending

q-heat flow and the gradient flow of the Renyi entropy in the p-Wasserstein space

Martin Kell

arxiv:1401.0840 v1 · 2014-01-04 · math.MG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YGKOFFY4IYDHKLV63EGYRFSGC}

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	2026-05-18T03:03:11.817361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60ca714b8e23033a975f6c86c44b230b404fa8e7bad9682d4803962fce206c0

Aliases

arxiv: 1401.0840 · arxiv_version: 1401.0840v1 · doi: 10.48550/arxiv.1401.0840 · pith_short_12: 2YGKOFFY4IYD · pith_short_16: 2YGKOFFY4IYDHKLV · pith_short_8: 2YGKOFFY

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/2YGKOFFY4IYDHKLV63EGYRFSGC \
  | 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: d60ca714b8e23033a975f6c86c44b230b404fa8e7bad9682d4803962fce206c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac14855a90b2b4e1c1fc72679a8f2706a8888164bdb9fa8a4d55156e0dddb1a0",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-01-04T19:38:20Z",
    "title_canon_sha256": "f212792dd17e5de1e3ba82241c0680ca00f1e38193634f368721f12c3a2ab0d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0840",
    "kind": "arxiv",
    "version": 1
  }
}