Pith Number

pith:XI5VEEWV

pith:2015:XI5VEEWVLVGACROOEIIJ62OFPT

not attested not anchored not stored refs pending

Curves intersecting exactly once and their dual cube complexes

Jonah Gaster, Tarik Aougab

arxiv:1502.00311 v1 · 2015-02-01 · 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{XI5VEEWVLVGACROOEIIJ62OFPT}

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	2026-05-18T02:28:06.248359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3b5212d55d4c0145ce22109f69c57cca67caaf988ad7385310f5d44bfcc41d

Aliases

arxiv: 1502.00311 · arxiv_version: 1502.00311v1 · doi: 10.48550/arxiv.1502.00311 · pith_short_12: XI5VEEWVLVGA · pith_short_16: XI5VEEWVLVGACROO · pith_short_8: XI5VEEWV

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/XI5VEEWVLVGACROOEIIJ62OFPT \
  | 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: ba3b5212d55d4c0145ce22109f69c57cca67caaf988ad7385310f5d44bfcc41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8360da63877afc47166c3f0c798a4ea2ff7d3db00cca52127a18a8bdc932f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-01T21:22:54Z",
    "title_canon_sha256": "c5b47e5388f5b203f501c2be7266d16199c1a16242be2f64bc3bbcd12d7b33ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00311",
    "kind": "arxiv",
    "version": 1
  }
}