Pith Number

pith:NIWXLWDS

pith:2013:NIWXLWDSNE6HYRVMTHNUHSJ6G3

not attested not anchored not stored refs pending

Small intersection numbers in the curve graph

Samuel J. Taylor, Tarik Aougab

arxiv:1310.4711 v2 · 2013-10-17 · 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{NIWXLWDSNE6HYRVMTHNUHSJ6G3}

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	2026-05-18T00:44:29.422398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2d75d872693c7c46ac99db43c93e36fdc7297ef475478428eaaac18da48912

Aliases

arxiv: 1310.4711 · arxiv_version: 1310.4711v2 · doi: 10.48550/arxiv.1310.4711 · pith_short_12: NIWXLWDSNE6H · pith_short_16: NIWXLWDSNE6HYRVM · pith_short_8: NIWXLWDS

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/NIWXLWDSNE6HYRVMTHNUHSJ6G3 \
  | 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: 6a2d75d872693c7c46ac99db43c93e36fdc7297ef475478428eaaac18da48912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c228b879434ad5a04220dcd7844999293587a9062ebe91fa7c236cad0d06882",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-17T14:23:07Z",
    "title_canon_sha256": "3511438f0a1a66e2dd73d1f1ab93374ab82e8f14e9fafdb786ea158a68350dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4711",
    "kind": "arxiv",
    "version": 2
  }
}