Pith Number

pith:PE5LJ6JV

pith:2016:PE5LJ6JVNM2HB5OM7BHM6SCWGM

not attested not anchored not stored refs pending

Applications of graph containers in the Boolean lattice

Adam Zsolt Wagner, Andrew Treglown, Jozsef Balogh

arxiv:1602.05870 v4 · 2016-02-18 · 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{PE5LJ6JVNM2HB5OM7BHM6SCWGM}

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	2026-05-18T00:23:17.312505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793ab4f9356b3470f5ccf84ecf4856332ec643dea8f79e671c7ea5f4efc7f55f

Aliases

arxiv: 1602.05870 · arxiv_version: 1602.05870v4 · doi: 10.48550/arxiv.1602.05870 · pith_short_12: PE5LJ6JVNM2H · pith_short_16: PE5LJ6JVNM2HB5OM · pith_short_8: PE5LJ6JV

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/PE5LJ6JVNM2HB5OM7BHM6SCWGM \
  | 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: 793ab4f9356b3470f5ccf84ecf4856332ec643dea8f79e671c7ea5f4efc7f55f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30066e781e86b9349c6a962c30f33d4ab128b3a6526bd007a2b5c0af45af4c19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-18T16:44:07Z",
    "title_canon_sha256": "c5505f75462db606b134550a29571ae1253c7c0cb808295d38d7f2e9937fceaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05870",
    "kind": "arxiv",
    "version": 4
  }
}