Pith Number

pith:ZB2DFTZ7

pith:2019:ZB2DFTZ75BL7J2ZFYPSDXAOBGA

not attested not anchored not stored refs pending

Quartic graphs which are Bakry-\'Emery curvature sharp

David Cushing, Leyna Watson May, Norbert Peyerimhoff, Supanat Kamtue

arxiv:1902.10665 v1 · 2019-02-27 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZB2DFTZ75BL7J2ZFYPSDXAOBGA}

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	2026-05-17T23:52:30.267078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87432cf3fe857f4eb25c3e43b81c13020de06df9c321067b36f07776f9366bd

Aliases

arxiv: 1902.10665 · arxiv_version: 1902.10665v1 · doi: 10.48550/arxiv.1902.10665 · pith_short_12: ZB2DFTZ75BL7 · pith_short_16: ZB2DFTZ75BL7J2ZF · pith_short_8: ZB2DFTZ7

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/ZB2DFTZ75BL7J2ZFYPSDXAOBGA \
  | 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: c87432cf3fe857f4eb25c3e43b81c13020de06df9c321067b36f07776f9366bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c9d9ec0fb5d3673076d7e2b53b630f977860b59fa65ea4148fee58cf61b595",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-27T17:59:07Z",
    "title_canon_sha256": "feabb221c83f0ab6341da64d62733335c8b980e11311ea4e131fef156c26386d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10665",
    "kind": "arxiv",
    "version": 1
  }
}