Pith Number

pith:5N4BFIK2

pith:2010:5N4BFIK2E7JLJUO4737V5RULIX

not attested not anchored not stored refs pending

On the equivariant implicit function theorem with low regularity and applications to geometric variational problems

Gaetano Siciliano, Paolo Piccione, Renato G. Bettiol

arxiv:1009.5721 v3 · 2010-09-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5N4BFIK2E7JLJUO4737V5RULIX}

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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	2026-05-18T02:27:49.883712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7812a15a27d2b4d1dcfeff5ec68b45c614c0d7fb2c84d82517a9e4aed36c62

Aliases

arxiv: 1009.5721 · arxiv_version: 1009.5721v3 · doi: 10.48550/arxiv.1009.5721 · pith_short_12: 5N4BFIK2E7JL · pith_short_16: 5N4BFIK2E7JLJUO4 · pith_short_8: 5N4BFIK2

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/5N4BFIK2E7JLJUO4737V5RULIX \
  | 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: eb7812a15a27d2b4d1dcfeff5ec68b45c614c0d7fb2c84d82517a9e4aed36c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37ca7000d99509329e7cd335646507649f293594d149a7c7d06bda09cb20f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-28T23:35:47Z",
    "title_canon_sha256": "879dd552cd821494cb2f22b74c26b93a75696cd25ea5a38f254fd90db3f15fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5721",
    "kind": "arxiv",
    "version": 3
  }
}