Pith Number

pith:KG53DF3U

pith:2016:KG53DF3U4BHPBRGBLLXMXCK33K

not attested not anchored not stored refs pending

On a limit of the method of Tashkinov trees for edge-colouring

Jessica McDonald, John Asplund

arxiv:1604.07445 v1 · 2016-04-25 · 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{KG53DF3U4BHPBRGBLLXMXCK33K}

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	2026-05-18T01:16:19.771377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51bbb19774e04ef0c4c15aeecb895bda9b70c95d07817e1c8a178ccf953e6d40

Aliases

arxiv: 1604.07445 · arxiv_version: 1604.07445v1 · doi: 10.48550/arxiv.1604.07445 · pith_short_12: KG53DF3U4BHP · pith_short_16: KG53DF3U4BHPBRGB · pith_short_8: KG53DF3U

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/KG53DF3U4BHPBRGBLLXMXCK33K \
  | 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: 51bbb19774e04ef0c4c15aeecb895bda9b70c95d07817e1c8a178ccf953e6d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7506659ab4092bf2cd68425c80731e171482d319821328f3383e2a74cdad2ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-25T20:52:39Z",
    "title_canon_sha256": "da2ec2ba519562635caa1bdf12ac10c2726912d5d0dd3a6d299fe80785e830c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07445",
    "kind": "arxiv",
    "version": 1
  }
}