Pith Number

pith:ESR3BTZS

pith:2015:ESR3BTZSUFAGO6C6XK5BFJYSMM

not attested not anchored not stored refs pending

k-connected degree sequences

Jonathan McLaughlin

arxiv:1512.05682 v1 · 2015-12-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESR3BTZSUFAGO6C6XK5BFJYSMM}

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	2026-05-18T01:24:09.173592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a3b0cf32a14067785ebaba12a7126338fb6a777de60ddae59482f9a6b35b8d

Aliases

arxiv: 1512.05682 · arxiv_version: 1512.05682v1 · doi: 10.48550/arxiv.1512.05682 · pith_short_12: ESR3BTZSUFAG · pith_short_16: ESR3BTZSUFAGO6C6 · pith_short_8: ESR3BTZS

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/ESR3BTZSUFAGO6C6XK5BFJYSMM \
  | 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: 24a3b0cf32a14067785ebaba12a7126338fb6a777de60ddae59482f9a6b35b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35c2997277e96c3b747691f7c8824a88638ea75e13ef7e4b8b178691079f795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-17T17:25:38Z",
    "title_canon_sha256": "ee0cf04c9fb025a1ae8936993e953e69fd4665aa409ba823278ed76aea53baea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05682",
    "kind": "arxiv",
    "version": 1
  }
}