Pith Number

pith:ERJEV3LD

pith:2009:ERJEV3LDFXIR4AMMUD4F5LQKUR

not attested not anchored not stored refs pending

An atomic decomposition of the Haj{\l}asz Sobolev space $\Mone$ on manifolds

Galia Dafni, Nadine Badr (ICJ)

arxiv:0910.2895 v2 · 2009-10-15 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERJEV3LDFXIR4AMMUD4F5LQKUR}

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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	2026-05-18T02:57:07.111287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24524aed632dd11e018ca0f85eae0aa46f52134e7d7a563184fbc07b329ae41e

Aliases

arxiv: 0910.2895 · arxiv_version: 0910.2895v2 · doi: 10.48550/arxiv.0910.2895 · pith_short_12: ERJEV3LDFXIR · pith_short_16: ERJEV3LDFXIR4AMM · pith_short_8: ERJEV3LD

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/ERJEV3LDFXIR4AMMUD4F5LQKUR \
  | 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: 24524aed632dd11e018ca0f85eae0aa46f52134e7d7a563184fbc07b329ae41e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e9f1c5a46d4914b3937c3a776947520e983396bcda3208cc4a166fd73836da",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-15T14:53:18Z",
    "title_canon_sha256": "efc8c171c8336c619ff7c5e26eec8d2b5a4bb08ff98a7fb6f5570f252b68b5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2895",
    "kind": "arxiv",
    "version": 2
  }
}