Pith Number

pith:GKYRWEU4

pith:2011:GKYRWEU4JYNQGULBOMWJHLDKI4

not attested not anchored not stored refs pending

Resolution except for minimal singularities I

Edward Bierstone, Pierre D. Milman

arxiv:1107.5595 v2 · 2011-07-27 · math.AG · 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{GKYRWEU4JYNQGULBOMWJHLDKI4}

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	2026-05-18T04:15:06.408120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b11b129c4e1b035161732c93ac6a47066dc2eafb6bd60c4c06af8507cff32d

Aliases

arxiv: 1107.5595 · arxiv_version: 1107.5595v2 · doi: 10.48550/arxiv.1107.5595 · pith_short_12: GKYRWEU4JYNQ · pith_short_16: GKYRWEU4JYNQGULB · pith_short_8: GKYRWEU4

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/GKYRWEU4JYNQGULBOMWJHLDKI4 \
  | 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: 32b11b129c4e1b035161732c93ac6a47066dc2eafb6bd60c4c06af8507cff32d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5980798eba3938ec1ca742d13af269501eb9bcb4f41ea5215bf6a61023dc5ee7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-27T21:19:40Z",
    "title_canon_sha256": "3e0385e16781aabeca1a4ab2132ed33c9039b82a99e61b8ea9c4e654171333d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5595",
    "kind": "arxiv",
    "version": 2
  }
}