Pith Number

pith:I65E6FFP

pith:2026:I65E6FFPVQDTJ2LXHFIMZETH6U

not attested not anchored not stored refs pending

Supersaturation for Hypergraph-Weighted Independent Sets

Sam Spiro

arxiv:2607.14022 v1 · 2026-07-15 · 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{I65E6FFPVQDTJ2LXHFIMZETH6U}

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	2026-07-16T01:23:20.086003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ba4f14afac0734e9773950cc9267f53b5684f4c4f5b05097027bef429daf67

Aliases

arxiv: 2607.14022 · arxiv_version: 2607.14022v1 · doi: 10.48550/arxiv.2607.14022 · pith_short_12: I65E6FFPVQDT · pith_short_16: I65E6FFPVQDTJ2LX · pith_short_8: I65E6FFP

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/I65E6FFPVQDTJ2LXHFIMZETH6U \
  | 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: 47ba4f14afac0734e9773950cc9267f53b5684f4c4f5b05097027bef429daf67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a40a2e1b350ad6cbc28e3eb91275439dc7b7b4db26b3879370644546595e6d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-15T16:54:55Z",
    "title_canon_sha256": "099d83cc5cc1e2514e9c593bca70bd80452e7c8ccf1b166c7bbd4e2bf6bb103f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14022",
    "kind": "arxiv",
    "version": 1
  }
}