Pith Number

pith:SWWHISTI

pith:2019:SWWHISTIG5HDOSEY25RDLW3ZMC

not attested not anchored not stored refs pending

$d$-Galvin families

Guillaume Lagarde, Johan H{\aa}stad, Joseph Swernofsky

arxiv:1901.02652 v1 · 2019-01-09 · 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{SWWHISTIG5HDOSEY25RDLW3ZMC}

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	2026-05-17T23:56:39.883311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95ac744a68374e374898d76235db79608da0ac49e2c4e1337da4743456dee34e

Aliases

arxiv: 1901.02652 · arxiv_version: 1901.02652v1 · doi: 10.48550/arxiv.1901.02652 · pith_short_12: SWWHISTIG5HD · pith_short_16: SWWHISTIG5HDOSEY · pith_short_8: SWWHISTI

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/SWWHISTIG5HDOSEY25RDLW3ZMC \
  | 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: 95ac744a68374e374898d76235db79608da0ac49e2c4e1337da4743456dee34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc3d2eae32760d48d73fd2a8de5f484ca03c2565ca3d29311d4ef230e55284a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-09T09:59:25Z",
    "title_canon_sha256": "e1ef87b61d8fbeecdafff3b560e52e08fcc7be03f1acb374eec32e22732c4471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02652",
    "kind": "arxiv",
    "version": 1
  }
}