Pith Number

pith:M7H4UFXC

pith:2015:M7H4UFXCYW74ADNSM53WJEBZHL

not attested not anchored not stored refs pending

Shattering bounds for tuple systems

G\'abor Heged\"us

arxiv:1512.00999 v1 · 2015-12-03 · 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{M7H4UFXCYW74ADNSM53WJEBZHL}

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	2026-05-18T01:02:59.278393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cfca16e2c5bfc00db267776490393ae7914e662aa61b773d1e5921282819c3

Aliases

arxiv: 1512.00999 · arxiv_version: 1512.00999v1 · doi: 10.48550/arxiv.1512.00999 · pith_short_12: M7H4UFXCYW74 · pith_short_16: M7H4UFXCYW74ADNS · pith_short_8: M7H4UFXC

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/M7H4UFXCYW74ADNSM53WJEBZHL \
  | 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: 67cfca16e2c5bfc00db267776490393ae7914e662aa61b773d1e5921282819c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4869d56e5bbefce4ada69110107ad49332243dd2260b780de9d88a493ca2551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-03T09:11:28Z",
    "title_canon_sha256": "7aa7c4497e6e7bf6a06ae75188440390f599785c7f9346e5e93b3ea1de835df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00999",
    "kind": "arxiv",
    "version": 1
  }
}