pith. sign in
Pith Number

pith:ZCBN3GEF

pith:2013:ZCBN3GEF7IA4ESZB7TUR7S3RH5
not attested not anchored not stored refs pending

Untangling two systems of noncrossing curves

Eric Sedgwick, Ji\v{r}\'i Matou\v{s}ek, Martin Tancer, Uli Wagner

arxiv:1302.6475 v5 · 2013-02-26 · math.CO · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZCBN3GEF7IA4ESZB7TUR7S3RH5}

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 2026-05-18T02:56:58.503051Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c882dd9885fa01c24b21fce91fcb713f5ba83dcb10ccf73a3034f91c4ed7f02d

Aliases

arxiv: 1302.6475 · arxiv_version: 1302.6475v5 · doi: 10.48550/arxiv.1302.6475 · pith_short_12: ZCBN3GEF7IA4 · pith_short_16: ZCBN3GEF7IA4ESZB · pith_short_8: ZCBN3GEF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZCBN3GEF7IA4ESZB7TUR7S3RH5 \
  | 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: c882dd9885fa01c24b21fce91fcb713f5ba83dcb10ccf73a3034f91c4ed7f02d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d7d18874ac15aa8033976ab4381a8ee4ccdb93d10afd475fcb7bb5dc2badbbc9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-26T16:10:10Z",
    "title_canon_sha256": "7efc4c72060dba93cd030630b66cd485ccae7391e633e1d681865cd09bf58137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6475",
    "kind": "arxiv",
    "version": 5
  }
}