Pith Number

pith:KEM6TWJP

pith:2015:KEM6TWJPKCVPESLUNU6E5U4TDB

not attested not anchored not stored refs pending

Toward \.Zak's conjecture on graph packing

Alexandr Kostochka, Andrew McConvey, Derrek Yager, Ervin Gy\H{o}ri

arxiv:1508.03672 v1 · 2015-08-14 · 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{KEM6TWJPKCVPESLUNU6E5U4TDB}

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	2026-05-18T01:35:15.463490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5119e9d92f50aaf249746d3c4ed3931848c7c1267f9b45424aa69f48a986fb8e

Aliases

arxiv: 1508.03672 · arxiv_version: 1508.03672v1 · doi: 10.48550/arxiv.1508.03672 · pith_short_12: KEM6TWJPKCVP · pith_short_16: KEM6TWJPKCVPESLU · pith_short_8: KEM6TWJP

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/KEM6TWJPKCVPESLUNU6E5U4TDB \
  | 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: 5119e9d92f50aaf249746d3c4ed3931848c7c1267f9b45424aa69f48a986fb8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8b72c373c5f2ad1a2f68c8fc053973cfd30da5783fc368fca8cd76b58295f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-14T22:34:10Z",
    "title_canon_sha256": "cae7e8c2d8bb8015a1310bb303403c34425879067caf32901d640b04e1bcb8d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03672",
    "kind": "arxiv",
    "version": 1
  }
}