Pith Number

pith:MSWN3MA3

pith:2016:MSWN3MA3FUOAX3NHEK65KSOLDJ

not attested not anchored not stored refs pending

Bakry-\'Emery curvature functions of graphs

David Cushing, Norbert Peyerimhoff, Shiping Liu

arxiv:1606.01496 v2 · 2016-06-05 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSWN3MA3FUOAX3NHEK65KSOLDJ}

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	2026-05-17T23:49:44.508513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64acddb01b2d1c0beda722bdd549cb1a50fde1c98f442c6d1d9f4cb416dc8ca7

Aliases

arxiv: 1606.01496 · arxiv_version: 1606.01496v2 · doi: 10.48550/arxiv.1606.01496 · pith_short_12: MSWN3MA3FUOA · pith_short_16: MSWN3MA3FUOAX3NH · pith_short_8: MSWN3MA3

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/MSWN3MA3FUOAX3NHEK65KSOLDJ \
  | 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: 64acddb01b2d1c0beda722bdd549cb1a50fde1c98f442c6d1d9f4cb416dc8ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2b31cbbb7d2a630825815fde199283c9f40b536bda8bb8307910f74ded2848",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-05T11:30:11Z",
    "title_canon_sha256": "683615a9ecfaa2b521f3243715fdbc1442643b8dd11ba910d967c9e464410370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01496",
    "kind": "arxiv",
    "version": 2
  }
}