Pith Number

pith:PLMQ4MOK

pith:2012:PLMQ4MOKOQAYL5RGHIYM3YOJ3G

not attested not anchored not stored refs pending

Large Collections of Curves Pairwise Intersecting Exactly Once

Tarik Aougab

arxiv:1210.2797 v1 · 2012-10-10 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLMQ4MOKOQAYL5RGHIYM3YOJ3G}

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	2026-05-18T03:43:31.505239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad90e31ca740185f6263a30cde1c9d98af4a736d4943929eef23443bfc92265

Aliases

arxiv: 1210.2797 · arxiv_version: 1210.2797v1 · doi: 10.48550/arxiv.1210.2797 · pith_short_12: PLMQ4MOKOQAY · pith_short_16: PLMQ4MOKOQAYL5RG · pith_short_8: PLMQ4MOK

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/PLMQ4MOKOQAYL5RGHIYM3YOJ3G \
  | 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: 7ad90e31ca740185f6263a30cde1c9d98af4a736d4943929eef23443bfc92265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03f4199b515c759c0a17a381606ba1d6b31c270a251114dd92f69984741f927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-10T04:15:56Z",
    "title_canon_sha256": "606ea810ac170e780a699aa96cd3b54b6332d5ceed691505abb63ed4b80bb773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2797",
    "kind": "arxiv",
    "version": 1
  }
}