Pith Number

pith:PEFOGORU

pith:2011:PEFOGORUR5OXBTI4IASRKQH7YB

not attested not anchored not stored refs pending

Fundamental groups of links of isolated singularities

J\'anos Koll\'ar, Michael Kapovich

arxiv:1109.4047 v1 · 2011-09-19 · math.AG · 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{PEFOGORUR5OXBTI4IASRKQH7YB}

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	2026-05-18T04:12:45.310773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790ae33a348f5d70cd1c40251540ffc06a53f446b3c888139c1ab29a79ccb711

Aliases

arxiv: 1109.4047 · arxiv_version: 1109.4047v1 · doi: 10.48550/arxiv.1109.4047 · pith_short_12: PEFOGORUR5OX · pith_short_16: PEFOGORUR5OXBTI4 · pith_short_8: PEFOGORU

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/PEFOGORUR5OXBTI4IASRKQH7YB \
  | 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: 790ae33a348f5d70cd1c40251540ffc06a53f446b3c888139c1ab29a79ccb711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c65cf7effc2ef6d6baab7f73a5702ae0c416d0465d4d82b938d19a69a4410a",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-19T14:50:39Z",
    "title_canon_sha256": "92be8826758dcd2c3e1f33a1a8ab2d735bb09137ab9934348be493bb1f2fe6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4047",
    "kind": "arxiv",
    "version": 1
  }
}