Pith Number

pith:OYDCUJNX

pith:2017:OYDCUJNXZS4LABSVJCUOBLVYAB

not attested not anchored not stored refs pending

Finite subgraphs of an extension graph

Juyoung Lee, Sang-hyun Kim, Thomas Koberda

arxiv:1708.02088 v1 · 2017-08-07 · math.GR · 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{OYDCUJNXZS4LABSVJCUOBLVYAB}

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	2026-05-18T00:38:32.336362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76062a25b7ccb8b0065548a8e0aeb80052c065e94b2af655a5ee144691d10a16

Aliases

arxiv: 1708.02088 · arxiv_version: 1708.02088v1 · doi: 10.48550/arxiv.1708.02088 · pith_short_12: OYDCUJNXZS4L · pith_short_16: OYDCUJNXZS4LABSV · pith_short_8: OYDCUJNX

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/OYDCUJNXZS4LABSVJCUOBLVYAB \
  | 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: 76062a25b7ccb8b0065548a8e0aeb80052c065e94b2af655a5ee144691d10a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9c69b4327025e8826ea87e255f79fda9bcbd1ef1ddde696a50003c8a57a47b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-07T12:17:47Z",
    "title_canon_sha256": "70854c1c2972e455ff1bbb2e61d7519911117a957622f8680db346db8371c281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02088",
    "kind": "arxiv",
    "version": 1
  }
}