Pith Number

pith:4Z5MRUWR

pith:2015:4Z5MRUWRDKOOHARY26BWKULJZK

not attested not anchored not stored refs pending

The Neighbor Matrix: Generalizing the Degree Distribution

Erik C. Rye, Jonathan W. Roginski, Ralucca M. Gera

arxiv:1510.06952 v2 · 2015-10-19 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z5MRUWRDKOOHARY26BWKULJZK}

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	2026-05-18T01:09:39.958039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67ac8d2d11a9ce38238d783655169caac0b346210e3d64e2271471cf7902461

Aliases

arxiv: 1510.06952 · arxiv_version: 1510.06952v2 · doi: 10.48550/arxiv.1510.06952 · pith_short_12: 4Z5MRUWRDKOO · pith_short_16: 4Z5MRUWRDKOOHARY · pith_short_8: 4Z5MRUWR

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/4Z5MRUWRDKOOHARY26BWKULJZK \
  | 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: e67ac8d2d11a9ce38238d783655169caac0b346210e3d64e2271471cf7902461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f5a20be77f4542ede716e1f648c8f84ea432b3508e70a93cc47c46604ab824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-10-19T05:23:26Z",
    "title_canon_sha256": "68006880654b6d47834138565252a06295ddf4c317c4064a0b716aecd3c69c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06952",
    "kind": "arxiv",
    "version": 2
  }
}