Pith Number

pith:KWBYEPJT

pith:2010:KWBYEPJTOW5WQPDEYCAPST6WAI

not attested not anchored not stored refs pending

Generic Morse-Smale property for the parabolic equation on the circle

Genevi\`eve Raugel (LM-Orsay), Romain Joly (IF)

arxiv:1005.3186 v1 · 2010-05-18 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWBYEPJTOW5WQPDEYCAPST6WAI}

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	2026-05-18T02:07:17.597656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5583823d3375bb683c64c080f94fd60220ed03a5e732e2a6e7f693e7fe770648

Aliases

arxiv: 1005.3186 · arxiv_version: 1005.3186v1 · doi: 10.48550/arxiv.1005.3186 · pith_short_12: KWBYEPJTOW5W · pith_short_16: KWBYEPJTOW5WQPDE · pith_short_8: KWBYEPJT

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/KWBYEPJTOW5WQPDEYCAPST6WAI \
  | 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: 5583823d3375bb683c64c080f94fd60220ed03a5e732e2a6e7f693e7fe770648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbb9d652b52c5b93f1b116b2ac4307a6cc5394513b4a9c0a587a38670cb2bbf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-18T13:08:48Z",
    "title_canon_sha256": "a9c6e18cedbff74ec45a14393991c18b02ad081f5ebb818ace05b74caf80904b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3186",
    "kind": "arxiv",
    "version": 1
  }
}