Pith Number

pith:6VDZW5L3

pith:2014:6VDZW5L3ZKNEGEGVBNBCUK5UKX

not attested not anchored not stored refs pending

A degree sequence Hajnal--Szemer\'edi theorem

Andrew Treglown

arxiv:1412.1774 v2 · 2014-12-04 · 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{6VDZW5L3ZKNEGEGVBNBCUK5UKX}

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	2026-05-18T01:22:10.529407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5479b757bca9a4310d50b422a2bb455dd70d709bdbd375d94f7bac642cc67a1

Aliases

arxiv: 1412.1774 · arxiv_version: 1412.1774v2 · doi: 10.48550/arxiv.1412.1774 · pith_short_12: 6VDZW5L3ZKNE · pith_short_16: 6VDZW5L3ZKNEGEGV · pith_short_8: 6VDZW5L3

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/6VDZW5L3ZKNEGEGVBNBCUK5UKX \
  | 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: f5479b757bca9a4310d50b422a2bb455dd70d709bdbd375d94f7bac642cc67a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f783994c69d3a193a7405465bae162d5b6e39512577cb8aaf9ad6e8675667a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-04T19:17:14Z",
    "title_canon_sha256": "48dcf706ae24df91678095c063cf6b223fb0ccfd67329b63c81d00bd4a30e36b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1774",
    "kind": "arxiv",
    "version": 2
  }
}