Pith Number

pith:TPFVSRWW

pith:2022:TPFVSRWW3DJGEOJ4A4T3ILY7LC

not attested not anchored not stored refs pending

Non-trivial squares and Sidorenko's conjecture

Amanda Redlich, Annie Raymond, Pranav Garg

arxiv:2206.10058 v1 · 2022-06-21 · 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{TPFVSRWW3DJGEOJ4A4T3ILY7LC}

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.

Cited by

1 paper in Pith

Forcing Graphs to be Forcing

Receipt and verification

First computed	2026-07-05T04:33:43.024726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcb5946d6d8d262393c0727b42f1f588ff69623669988f4d199dc163a99e90d

Aliases

arxiv: 2206.10058 · arxiv_version: 2206.10058v1 · doi: 10.48550/arxiv.2206.10058 · pith_short_12: TPFVSRWW3DJG · pith_short_16: TPFVSRWW3DJGEOJ4 · pith_short_8: TPFVSRWW

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/TPFVSRWW3DJGEOJ4A4T3ILY7LC \
  | 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: 9bcb5946d6d8d262393c0727b42f1f588ff69623669988f4d199dc163a99e90d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc3440649a31a90d2c6d217919b533162e4673280b8425090f4b810df0ab41b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-21T00:45:01Z",
    "title_canon_sha256": "0e80ba1f726fdea9fe5674cb88621e53aca76fa6997ff3af9a347ff2b47d64ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.10058",
    "kind": "arxiv",
    "version": 1
  }
}