Pith Number

pith:P5JDKBMR

pith:2012:P5JDKBMROMTCRGAY4FBDY7DMYF

not attested not anchored not stored refs pending

Functions with isolated singularities on surfaces, II

Sergiy Maksymenko

arxiv:1205.4196 v1 · 2012-05-18 · math.GT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5JDKBMROMTCRGAY4FBDY7DMYF}

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	2026-05-18T03:55:22.516581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f523505917326289818e1423c7c6cc153182ed0bfc8eb78c5421af625687c35

Aliases

arxiv: 1205.4196 · arxiv_version: 1205.4196v1 · doi: 10.48550/arxiv.1205.4196 · pith_short_12: P5JDKBMROMTC · pith_short_16: P5JDKBMROMTCRGAY · pith_short_8: P5JDKBMR

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/P5JDKBMROMTCRGAY4FBDY7DMYF \
  | 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: 7f523505917326289818e1423c7c6cc153182ed0bfc8eb78c5421af625687c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45cb9cf7987e1cdb9a78a8af538f50941d9a8c9f7e9be44876bf3ef581feccc",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-18T16:50:24Z",
    "title_canon_sha256": "259458255e05b112e936302751bed1c21a41fc81c1bb92ef61e8a4faf8d5a28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4196",
    "kind": "arxiv",
    "version": 1
  }
}