Pith Number

pith:KRKT3KMY

pith:2007:KRKT3KMYPPYY4ZKSCIQCPHUYUY

not attested not anchored not stored refs pending

Topological types of 3-dimensional small covers

Li Yu, Zhi L\"u

arxiv:0710.4496 v4 · 2007-10-24 · math.GT · math.AT · 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{KRKT3KMYPPYY4ZKSCIQCPHUYUY}

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	2026-05-18T04:24:53.390071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54553da9987bf18e65521220279e98a61da79797b431886128b31b4c74ac89de

Aliases

arxiv: 0710.4496 · arxiv_version: 0710.4496v4 · doi: 10.48550/arxiv.0710.4496 · pith_short_12: KRKT3KMYPPYY · pith_short_16: KRKT3KMYPPYY4ZKS · pith_short_8: KRKT3KMY

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/KRKT3KMYPPYY4ZKSCIQCPHUYUY \
  | 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: 54553da9987bf18e65521220279e98a61da79797b431886128b31b4c74ac89de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03dcd18f77c7f5de30f4f00cf8b2c725507607c2fe6d07530fd7b954dffaff44",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-24T16:22:45Z",
    "title_canon_sha256": "f03cb6a29695091d168477b3640af3d8a3170b517ff1f26a0d02b48919cc5cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4496",
    "kind": "arxiv",
    "version": 4
  }
}