Pith Number

pith:I3WZVOAV

pith:2016:I3WZVOAVVURB6T6GJHVHBVSVF2

not attested not anchored not stored refs pending

An algorithmic regularity lemma for $L_p$ regular sparse matrices

Silouanos Brazitikos, Thodoris Karageorgos

arxiv:1607.07204 v2 · 2016-07-25 · 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{I3WZVOAVVURB6T6GJHVHBVSVF2}

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	2026-05-18T00:44:16.003860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ed9ab815ad221f4fc649ea70d6552e971a95278c78ce15970c5d4fb0b1e696

Aliases

arxiv: 1607.07204 · arxiv_version: 1607.07204v2 · doi: 10.48550/arxiv.1607.07204 · pith_short_12: I3WZVOAVVURB · pith_short_16: I3WZVOAVVURB6T6G · pith_short_8: I3WZVOAV

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/I3WZVOAVVURB6T6GJHVHBVSVF2 \
  | 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: 46ed9ab815ad221f4fc649ea70d6552e971a95278c78ce15970c5d4fb0b1e696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73b8e9239e6469cdc5a681d5e23373bc641db349fbf97ccbb130537eb1646584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-25T11:08:05Z",
    "title_canon_sha256": "122a7955d7db3ed8c38a5468441695659e27fe57ed3a9d407051a0e24d09d411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07204",
    "kind": "arxiv",
    "version": 2
  }
}