Pith Number

pith:WZJISSE7

pith:2017:WZJISSE7WPLKFPLOBH47DMMGND

not attested not anchored not stored refs pending

A Ramsey Property of Random Regular and $k$-out Graphs

Deepak Bal, Michael Anastos

arxiv:1708.01211 v1 · 2017-08-03 · 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{WZJISSE7WPLKFPLOBH47DMMGND}

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	2026-05-18T00:38:40.343306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65289489fb3d6a2bd6e09f9f1b18668f7a43c3ba2763acc4d1d0e1bd892843d

Aliases

arxiv: 1708.01211 · arxiv_version: 1708.01211v1 · doi: 10.48550/arxiv.1708.01211 · pith_short_12: WZJISSE7WPLK · pith_short_16: WZJISSE7WPLKFPLO · pith_short_8: WZJISSE7

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/WZJISSE7WPLKFPLOBH47DMMGND \
  | 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: b65289489fb3d6a2bd6e09f9f1b18668f7a43c3ba2763acc4d1d0e1bd892843d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fec3c04d2c7d827cf22dfd6f14daae98fc84c98b4485b7abb032895a07df8f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-03T16:56:51Z",
    "title_canon_sha256": "955791349d1c898315aa04d2a43fb326d54a4d369cf6f2c08696ab0407bbc5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01211",
    "kind": "arxiv",
    "version": 1
  }
}