Pith Number

pith:762BOSMG

pith:2025:762BOSMGTNJ4GU5YYOMTZ6W6WC

not attested not anchored not stored refs pending

An improved construction for the triangle removal lemma

Zach Hunter

arxiv:2507.05231 v1 · 2025-07-07 · 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{762BOSMGTNJ4GU5YYOMTZ6W6WC}

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	2026-07-05T11:33:10.949374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb41749869b53c353b8c3993cfadeb0aaaaadbc289f7bbf22326b7c70b13d3e

Aliases

arxiv: 2507.05231 · arxiv_version: 2507.05231v1 · doi: 10.48550/arxiv.2507.05231 · pith_short_12: 762BOSMGTNJ4 · pith_short_16: 762BOSMGTNJ4GU5Y · pith_short_8: 762BOSMG

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/762BOSMGTNJ4GU5YYOMTZ6W6WC \
  | 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: ffb41749869b53c353b8c3993cfadeb0aaaaadbc289f7bbf22326b7c70b13d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23422b6712c036af88eb7e3fd0a97eaea53919287e19b4a770b8aa475d81aec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-07T17:40:44Z",
    "title_canon_sha256": "c784b970d0af0ce585e35e65adaec3694d4d48236124e409ffd325e061d7df5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05231",
    "kind": "arxiv",
    "version": 1
  }
}