Pith Number

pith:ELT6JPAZ

pith:2016:ELT6JPAZKM6FZXUKFV4J3WEGOR

not attested not anchored not stored refs pending

Anagram-free colorings of graphs

Benny Sudakov, Nina Kam\v{c}ev, Tomasz {\L}uczak

arxiv:1606.09062 v1 · 2016-06-29 · 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{ELT6JPAZKM6FZXUKFV4J3WEGOR}

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	2026-05-18T01:11:41.798442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e7e4bc19533c5cde8a2d789dd886747c047b70d2045de0bf44242d7baefdb9

Aliases

arxiv: 1606.09062 · arxiv_version: 1606.09062v1 · doi: 10.48550/arxiv.1606.09062 · pith_short_12: ELT6JPAZKM6F · pith_short_16: ELT6JPAZKM6FZXUK · pith_short_8: ELT6JPAZ

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/ELT6JPAZKM6FZXUKFV4J3WEGOR \
  | 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: 22e7e4bc19533c5cde8a2d789dd886747c047b70d2045de0bf44242d7baefdb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be10827b54eeb0afbf79961ba58462fce77393b507c193c748a1b1f21a0b0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-29T12:12:54Z",
    "title_canon_sha256": "c5a4acfe5da5ed6c284cbe5cc0bf4a26164f932701c70f06d9f14370dd76f8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09062",
    "kind": "arxiv",
    "version": 1
  }
}