Pith Number

pith:FMFIPKQS

pith:2014:FMFIPKQS2TKTFY5XYTB5SYSFXE

not attested not anchored not stored refs pending

On directed versions of the Hajnal--Szemer\'edi theorem

Andrew Treglown

arxiv:1406.3229 v2 · 2014-06-12 · 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{FMFIPKQS2TKTFY5XYTB5SYSFXE}

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	2026-05-18T02:28:47.811041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0a87aa12d4d532e3b7c4c3d96245b91263ecf1e3ec04581156141c6f5bc4e0

Aliases

arxiv: 1406.3229 · arxiv_version: 1406.3229v2 · doi: 10.48550/arxiv.1406.3229 · pith_short_12: FMFIPKQS2TKT · pith_short_16: FMFIPKQS2TKTFY5X · pith_short_8: FMFIPKQS

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/FMFIPKQS2TKTFY5XYTB5SYSFXE \
  | 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: 2b0a87aa12d4d532e3b7c4c3d96245b91263ecf1e3ec04581156141c6f5bc4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63abc5308b5ad4940ddd1b90e050e031b3ace6a8aff78e10f184f36bc0f9e03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-12T13:11:38Z",
    "title_canon_sha256": "133fba4db89118c8fe97e761c1c2c5c63241dd5aaa4b7f61cae30fac101548b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3229",
    "kind": "arxiv",
    "version": 2
  }
}