Pith Number

pith:ZYGUYPRV

pith:2015:ZYGUYPRVCMGPD2QPYUZFHASCJG

not attested not anchored not stored refs pending

Entropic Ricci curvature bounds for discrete interacting systems

Jan Maas, Max Fathi

arxiv:1501.00562 v3 · 2015-01-03 · math.PR · 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{ZYGUYPRVCMGPD2QPYUZFHASCJG}

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	2026-05-18T01:11:55.266012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0d4c3e35130cf1ea0fc532538242499e523ae5aa021a84097e02f015a813ca

Aliases

arxiv: 1501.00562 · arxiv_version: 1501.00562v3 · doi: 10.48550/arxiv.1501.00562 · pith_short_12: ZYGUYPRVCMGP · pith_short_16: ZYGUYPRVCMGPD2QP · pith_short_8: ZYGUYPRV

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/ZYGUYPRVCMGPD2QPYUZFHASCJG \
  | 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: ce0d4c3e35130cf1ea0fc532538242499e523ae5aa021a84097e02f015a813ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e480046fa16c1d34ea929f8d095ff0f98fb6b4b409f8d1303f43b39251d94a0e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-03T13:09:55Z",
    "title_canon_sha256": "e2f432cb1ae00012cc5a2e22a553e8b47a2a0a2f04a6ed373c1ee54a623b5989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00562",
    "kind": "arxiv",
    "version": 3
  }
}