Pith Number

pith:3FKTXYVN

pith:2017:3FKTXYVNSA345XZDRU7DFBEUV2

not attested not anchored not stored refs pending

Asymptotically Almost Every $2r$-regular Graph has an Internal Partition

Nathan Linial, Sria Louis

arxiv:1708.04162 v2 · 2017-08-14 · 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{3FKTXYVNSA345XZDRU7DFBEUV2}

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	2026-05-18T00:37:57.271715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9553be2ad9037cedf238d3e328494aeb86add71e31491b283bf41c6c69ae811

Aliases

arxiv: 1708.04162 · arxiv_version: 1708.04162v2 · doi: 10.48550/arxiv.1708.04162 · pith_short_12: 3FKTXYVNSA34 · pith_short_16: 3FKTXYVNSA345XZD · pith_short_8: 3FKTXYVN

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/3FKTXYVNSA345XZDRU7DFBEUV2 \
  | 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: d9553be2ad9037cedf238d3e328494aeb86add71e31491b283bf41c6c69ae811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc6a021508491034fc28d064dbdcb37752e25a51c8f5235a3748330c46b2582",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-14T14:57:30Z",
    "title_canon_sha256": "e3dc358a7bead4b8bfeccf297d7163a6f72bd1e676cb2456a24cc7613a502e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04162",
    "kind": "arxiv",
    "version": 2
  }
}