Pith Number

pith:NR7JQ53T

pith:2011:NR7JQ53T2NAJO545DULXGXPMRU

not attested not anchored not stored refs pending

The thick-thin decomposition and the bilipschitz classification of normal surface singularities

Anne Pichon, Lev Birbrair, Walter D Neumann

arxiv:1105.3327 v6 · 2011-05-17 · math.AG · 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{NR7JQ53T2NAJO545DULXGXPMRU}

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	2026-05-18T02:46:31.717717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7e987773d34097779d1d17735dec8d36b394fbf0b1298ed0bac8a8071387c7

Aliases

arxiv: 1105.3327 · arxiv_version: 1105.3327v6 · doi: 10.48550/arxiv.1105.3327 · pith_short_12: NR7JQ53T2NAJ · pith_short_16: NR7JQ53T2NAJO545 · pith_short_8: NR7JQ53T

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/NR7JQ53T2NAJO545DULXGXPMRU \
  | 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: 6c7e987773d34097779d1d17735dec8d36b394fbf0b1298ed0bac8a8071387c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e583bb1dafc67fdefa8c8e2ef2bfbbec1c88d5d195ecf6ad441e41dba42d6c5c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-17T09:57:52Z",
    "title_canon_sha256": "2885a58c93765d74aae93734179eee084a1c73a51a198101fb61860d37fe5ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3327",
    "kind": "arxiv",
    "version": 6
  }
}