Pith Number

pith:TX533D5F

pith:2013:TX533D5F3QCMUT4W6VAHLD2OK7

not attested not anchored not stored refs pending

Minimally intersecting filling pairs on surfaces

ShinnYih Huang, Tarik Aougab

arxiv:1312.0913 v2 · 2013-12-03 · math.GT · 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{TX533D5F3QCMUT4W6VAHLD2OK7}

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	2026-05-18T01:22:24.621970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dfbbd8fa5dc04ca4f96f540758f4e57f080fac11af73ffd99b172326d1b3ec5

Aliases

arxiv: 1312.0913 · arxiv_version: 1312.0913v2 · doi: 10.48550/arxiv.1312.0913 · pith_short_12: TX533D5F3QCM · pith_short_16: TX533D5F3QCMUT4W · pith_short_8: TX533D5F

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/TX533D5F3QCMUT4W6VAHLD2OK7 \
  | 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: 9dfbbd8fa5dc04ca4f96f540758f4e57f080fac11af73ffd99b172326d1b3ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d02e0f8b2ee70984187e3790352b64937c67ae362d95b709d449f3f0884f94",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-03T19:32:58Z",
    "title_canon_sha256": "0bfa20534cb31f79f2f7f38b12cbd9b525b176d7a1f96ca3dee4a065f589a4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0913",
    "kind": "arxiv",
    "version": 2
  }
}