Pith Number

pith:RCXFSCFS

pith:2011:RCXFSCFSA6JKR4H3B3Q3I6D3V7

not attested not anchored not stored refs pending

Resolution of singularities of pairs preserving semi-simple normal crossings

Edward Bierstone, Franklin Vera Pacheco

arxiv:1109.3205 v1 · 2011-09-14 · math.AG · math.AC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCXFSCFSA6JKR4H3B3Q3I6D3V7}

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	2026-05-18T04:12:57.265429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88ae5908b20792a8f0fb0ee1b4787bafd16b7f9b0c48cbe18dd87c6f9c6555b1

Aliases

arxiv: 1109.3205 · arxiv_version: 1109.3205v1 · doi: 10.48550/arxiv.1109.3205 · pith_short_12: RCXFSCFSA6JK · pith_short_16: RCXFSCFSA6JKR4H3 · pith_short_8: RCXFSCFS

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/RCXFSCFSA6JKR4H3B3Q3I6D3V7 \
  | 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: 88ae5908b20792a8f0fb0ee1b4787bafd16b7f9b0c48cbe18dd87c6f9c6555b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c456c03ddaf67448e1da643273b276dd32e7c92562ee1cd512c380d03f8bf84",
    "cross_cats_sorted": [
      "math.AC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-14T20:31:59Z",
    "title_canon_sha256": "8de157deb19901ec567e8392289c788a62e8750cf0672f7e30f8f40fd86523c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3205",
    "kind": "arxiv",
    "version": 1
  }
}