Pith Number

pith:POZGXQ3A

pith:2016:POZGXQ3AYOT3GKKT5WNBE3DIQL

not attested not anchored not stored refs pending

Graph parameters, Ramsey theory and the speed of hereditary properties

Vadim Lozin

arxiv:1608.07727 v2 · 2016-08-27 · cs.DM · 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{POZGXQ3AYOT3GKKT5WNBE3DIQL}

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	2026-05-18T00:13:19.765063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb26bc360c3a7b32953ed9a126c6882fd00c96aec0a322044263802d324f652

Aliases

arxiv: 1608.07727 · arxiv_version: 1608.07727v2 · doi: 10.48550/arxiv.1608.07727 · pith_short_12: POZGXQ3AYOT3 · pith_short_16: POZGXQ3AYOT3GKKT · pith_short_8: POZGXQ3A

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/POZGXQ3AYOT3GKKT5WNBE3DIQL \
  | 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: 7bb26bc360c3a7b32953ed9a126c6882fd00c96aec0a322044263802d324f652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5624c4fa6bb3880167f5c81dd0f60e31b809da52a232dd6d33c862a1bf671d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-08-27T17:17:16Z",
    "title_canon_sha256": "69c3ef9cf94676f84f2201cac78eff05025553b2cfb9a82f26345f06c314f197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07727",
    "kind": "arxiv",
    "version": 2
  }
}