Pith Number

pith:EVRRNIAC

pith:2015:EVRRNIACFPQJRQ6Y2IXTV6BB5C

not attested not anchored not stored refs pending

Split Graphs and Nordhaus-Gaddum Graphs

Ann Trenk, Christine Cheng, Karen L. Collins

arxiv:1506.03746 v1 · 2015-06-11 · 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{EVRRNIACFPQJRQ6Y2IXTV6BB5C}

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	2026-05-18T01:53:03.391456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256316a0022be098c3d8d22f3af821e8a6f664f9632dd405d6ddb3c63d20f4fc

Aliases

arxiv: 1506.03746 · arxiv_version: 1506.03746v1 · doi: 10.48550/arxiv.1506.03746 · pith_short_12: EVRRNIACFPQJ · pith_short_16: EVRRNIACFPQJRQ6Y · pith_short_8: EVRRNIAC

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/EVRRNIACFPQJRQ6Y2IXTV6BB5C \
  | 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: 256316a0022be098c3d8d22f3af821e8a6f664f9632dd405d6ddb3c63d20f4fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a28d91363267147e80c0689f50d9cb80d7f8e6ace3970072a44537a78eed9ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-11T17:16:31Z",
    "title_canon_sha256": "7cbfc034f4eebb2488a9d7bb99b61fda81a67af667e9cd90b8d01a3df653ba60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03746",
    "kind": "arxiv",
    "version": 1
  }
}