Pith Number

pith:JLNPBBN2

pith:2010:JLNPBBN25TDZMGAQVIRWWFKGHE

not attested not anchored not stored refs pending

The Nash problem of arcs and the rational double point $\mathbf{E_6}$

Camille Pl\'enat, Mark Spivakovsky

arxiv:1011.2426 v1 · 2010-11-10 · 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{JLNPBBN25TDZMGAQVIRWWFKGHE}

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	2026-05-18T04:36:30.359037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adaf085baecc7961810aa236b1546391a810d0cf4e56d0f58c158c7d02fccf3

Aliases

arxiv: 1011.2426 · arxiv_version: 1011.2426v1 · doi: 10.48550/arxiv.1011.2426 · pith_short_12: JLNPBBN25TDZ · pith_short_16: JLNPBBN25TDZMGAQ · pith_short_8: JLNPBBN2

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/JLNPBBN25TDZMGAQVIRWWFKGHE \
  | 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: 4adaf085baecc7961810aa236b1546391a810d0cf4e56d0f58c158c7d02fccf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0eb093c029e7f80b7a875ba2cb94cdb7c79cdab050e4125d8529bce4c6e0f2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-10T16:47:59Z",
    "title_canon_sha256": "10817ed1c7f044ce67020aa098433b74ccf32163934f0c953d350b55f7c8cf12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2426",
    "kind": "arxiv",
    "version": 1
  }
}