Pith Number

pith:ESNTUYOL

pith:2015:ESNTUYOLHVTEULJUE36IN3VKVJ

not attested not anchored not stored refs pending

Distant set distinguishing total colourings of graphs

Jakub Przyby{\l}o

arxiv:1508.05834 v1 · 2015-08-24 · 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{ESNTUYOLHVTEULJUE36IN3VKVJ}

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	2026-05-18T00:49:47.273503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249b3a61cb3d664a2d3426fc86eeaaaa790fd36475e9609e2ee95c8a7aa63c9a

Aliases

arxiv: 1508.05834 · arxiv_version: 1508.05834v1 · doi: 10.48550/arxiv.1508.05834 · pith_short_12: ESNTUYOLHVTE · pith_short_16: ESNTUYOLHVTEULJU · pith_short_8: ESNTUYOL

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/ESNTUYOLHVTEULJUE36IN3VKVJ \
  | 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: 249b3a61cb3d664a2d3426fc86eeaaaa790fd36475e9609e2ee95c8a7aa63c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6486fc1bf4c7123dd5354d4c8ab16c288a7510f857534f01377bdd78c04d080a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-24T15:03:42Z",
    "title_canon_sha256": "3daae9a3e72b4dbd25e4bbb2e71aaf2acceb8fc4abb76417bb4361a8490f302a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05834",
    "kind": "arxiv",
    "version": 1
  }
}