Pith Number

pith:LH34RR2C

pith:2006:LH34RR2CVHN6P35K4LGUQQMPQ6

not attested not anchored not stored refs pending

Analysis of degenerate elliptic operators of Grushin type

Adam Sikora, Derek W. Robinson

arxiv:math/0607584 v1 · 2006-07-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LH34RR2CVHN6P35K4LGUQQMPQ6}

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	2026-05-18T02:31:48.813721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f7c8c742a9dbe7efaae2cd48418f87a8c39a2faffc213dc3d051807dd4dcef

Aliases

arxiv: math/0607584 · arxiv_version: math/0607584v1 · doi: 10.48550/arxiv.math/0607584 · pith_short_12: LH34RR2CVHN6 · pith_short_16: LH34RR2CVHN6P35K · pith_short_8: LH34RR2C

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/LH34RR2CVHN6P35K4LGUQQMPQ6 \
  | 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: 59f7c8c742a9dbe7efaae2cd48418f87a8c39a2faffc213dc3d051807dd4dcef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2943719be9a8cea84a4e2a81fffa8504f1b20944b1af00ddc9e018ac7d203c05",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-24T00:16:14Z",
    "title_canon_sha256": "7c14dc69868641867442db484fbeed4bef661394f3ed4df1ba3f955d26a5811a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607584",
    "kind": "arxiv",
    "version": 1
  }
}