Pith Number

pith:QSPTB7QT

pith:2011:QSPTB7QT24V3XRYF6HJUAVXZJX

not attested not anchored not stored refs pending

An Upper bound on the number of Steiner triple systems

Nathan Linial, Zur Luria

arxiv:1108.5042 v3 · 2011-08-25 · 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{QSPTB7QT24V3XRYF6HJUAVXZJX}

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	2026-05-18T04:11:08.223887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849f30fe13d72bbbc705f1d34056f94de2900458d2b73d4d3a1672df373d93f8

Aliases

arxiv: 1108.5042 · arxiv_version: 1108.5042v3 · doi: 10.48550/arxiv.1108.5042 · pith_short_12: QSPTB7QT24V3 · pith_short_16: QSPTB7QT24V3XRYF · pith_short_8: QSPTB7QT

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/QSPTB7QT24V3XRYF6HJUAVXZJX \
  | 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: 849f30fe13d72bbbc705f1d34056f94de2900458d2b73d4d3a1672df373d93f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbcee982184fea6d6ed00da2a003c8caae2ab9d0b9e4e0d6117933141d436644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-25T08:50:40Z",
    "title_canon_sha256": "fb2fd41f502ca679067af19680b8604d83550b98ec0b6f01896897e0d8056074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5042",
    "kind": "arxiv",
    "version": 3
  }
}