Pith Number

pith:TTBCADXN

pith:2010:TTBCADXNLMYT5ABWK7WCGP2DU5

not attested not anchored not stored refs pending

Reduction of Singularities of Three-Dimensional Line Foliations

Claude Roche, Felipe Cano, Mark Spivakovsky

arxiv:1009.1348 v1 · 2010-09-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTBCADXNLMYT5ABWK7WCGP2DU5}

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	2026-05-18T04:41:15.674548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc2200eed5b313e803657ec233f43a77a9954b2b20d55f03b5a62eac69f2f4e

Aliases

arxiv: 1009.1348 · arxiv_version: 1009.1348v1 · doi: 10.48550/arxiv.1009.1348 · pith_short_12: TTBCADXNLMYT · pith_short_16: TTBCADXNLMYT5ABW · pith_short_8: TTBCADXN

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/TTBCADXNLMYT5ABWK7WCGP2DU5 \
  | 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: 9cc2200eed5b313e803657ec233f43a77a9954b2b20d55f03b5a62eac69f2f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f422c00e7fb8d15ae583627eb3a5cbd29db1838b5d8a6df20adf2b00e66280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-07T17:24:48Z",
    "title_canon_sha256": "3ff7b5425254ba3374064d68306e0084754ab3b7b54bf975c4dfc2afdd437bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1348",
    "kind": "arxiv",
    "version": 1
  }
}