Pith Number

pith:T6YNGYE4

pith:2015:T6YNGYE45EMPA27JFKBEAMHJ2J

not attested not anchored not stored refs pending

On Galvin orientations of line graphs and list-edge-colouring

Jessica McDonald

arxiv:1508.01820 v1 · 2015-08-07 · 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{T6YNGYE45EMPA27JFKBEAMHJ2J}

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	2026-05-18T01:35:37.855492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb0d3609ce918f06be92a824030e9d25d9152c88bd432555206f353e04ad691

Aliases

arxiv: 1508.01820 · arxiv_version: 1508.01820v1 · doi: 10.48550/arxiv.1508.01820 · pith_short_12: T6YNGYE45EMP · pith_short_16: T6YNGYE45EMPA27J · pith_short_8: T6YNGYE4

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/T6YNGYE45EMPA27JFKBEAMHJ2J \
  | 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: 9fb0d3609ce918f06be92a824030e9d25d9152c88bd432555206f353e04ad691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfc12e3a2326bbccdf0fd56e29c01e8e0c1939474916c0be98e2ac38509d8f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-07T21:19:23Z",
    "title_canon_sha256": "96b4e06b95be52cb16fc18088e59971cbf5b341a3c6b139c9983a4852755daed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01820",
    "kind": "arxiv",
    "version": 1
  }
}