Pith Number

pith:BLEG2P2R

pith:2015:BLEG2P2RNP2XCU637RO3NE3LJO

not attested not anchored not stored refs pending

Extremal H-colorings of trees and 2-connected graphs

David Galvin, John Engbers

arxiv:1506.05388 v2 · 2015-06-17 · 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{BLEG2P2RNP2XCU637RO3NE3LJO}

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	2026-05-18T01:01:45.081553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac86d3f516bf57153dbfc5db6936b4b951ddc4641f108d21e6864429194fbc9

Aliases

arxiv: 1506.05388 · arxiv_version: 1506.05388v2 · doi: 10.48550/arxiv.1506.05388 · pith_short_12: BLEG2P2RNP2X · pith_short_16: BLEG2P2RNP2XCU63 · pith_short_8: BLEG2P2R

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/BLEG2P2RNP2XCU637RO3NE3LJO \
  | 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: 0ac86d3f516bf57153dbfc5db6936b4b951ddc4641f108d21e6864429194fbc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aab8650fdb954ecfdfc1576b6c14b7fc4f5e2b5716aadd3006135043d3b187c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-17T17:27:22Z",
    "title_canon_sha256": "ada67b6beced9692ac65e701ff3429a0c63503bbc487ff9a5ba5e1d68b0ed658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05388",
    "kind": "arxiv",
    "version": 2
  }
}