Pith Number

pith:XJAJJNIL

pith:2006:XJAJJNILNAQ7SCGQVFY3QRAAK5

not attested not anchored not stored refs pending

The Nash problem on arcs for surface singularities

Marcel Morales

arxiv:math/0609629 v1 · 2006-09-22 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJAJJNILNAQ7SCGQVFY3QRAAK5}

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	2026-05-18T01:05:22.561161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4094b50b6821f908d0a971b84400576e3e14f85faa63f91e3d6c1db3c21d3f

Aliases

arxiv: math/0609629 · arxiv_version: math/0609629v1 · doi: 10.48550/arxiv.math/0609629 · pith_short_12: XJAJJNILNAQ7 · pith_short_16: XJAJJNILNAQ7SCGQ · pith_short_8: XJAJJNIL

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/XJAJJNILNAQ7SCGQVFY3QRAAK5 \
  | 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: ba4094b50b6821f908d0a971b84400576e3e14f85faa63f91e3d6c1db3c21d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fab5291fdbfbfa9334d5fee7d26d3268b611003d41330092b0b82642e443ef",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-09-22T07:31:39Z",
    "title_canon_sha256": "f68ce0118f3e6fa27ad433f7efe52a73af63f3af9e57db4766771e2571ee44b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609629",
    "kind": "arxiv",
    "version": 1
  }
}