Pith Number

pith:EGUPJOH5

pith:2022:EGUPJOH5PGBINLMMXCT2QUI4TI

not attested not anchored not stored refs pending

Threshold for Steiner triple systems

Ashwin Sah, Mehtaab Sawhney, Michael Simkin

arxiv:2204.03964 v2 · 2022-04-08 · 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{EGUPJOH5PGBINLMMXCT2QUI4TI}

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	2026-07-05T04:19:57.641730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a8f4b8fd798286ad8cb8a7a8511c9a0bf77bc70fe6f3ce179f9101ffbdbea0

Aliases

arxiv: 2204.03964 · arxiv_version: 2204.03964v2 · doi: 10.48550/arxiv.2204.03964 · pith_short_12: EGUPJOH5PGBI · pith_short_16: EGUPJOH5PGBINLMM · pith_short_8: EGUPJOH5

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/EGUPJOH5PGBINLMMXCT2QUI4TI \
  | 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: 21a8f4b8fd798286ad8cb8a7a8511c9a0bf77bc70fe6f3ce179f9101ffbdbea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd3c0276bfe92b10594c1bf526853f26fdb3302e1a054176322bce0353b955a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-08T09:42:28Z",
    "title_canon_sha256": "0c433cea93277148383595800b29f1c9d07fe69ce107d6e50ec5b024b7a4cb66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.03964",
    "kind": "arxiv",
    "version": 2
  }
}