Pith Number

pith:4HRAKD6E

pith:2017:4HRAKD6ENL3IYGF5HTCQYWBPKW

not attested not anchored not stored refs pending

On some universal Morse-Sard type Theorem

Adele Ferone, Alba Roviello, Mikhail V. Korobkov

arxiv:1706.05266 v4 · 2017-06-15 · 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{4HRAKD6ENL3IYGF5HTCQYWBPKW}

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	2026-05-17T23:43:54.155953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e2050fc46af68c18bd3cc50c582f55bf8b9dd1014f7a4f0f5a498367c791f8

Aliases

arxiv: 1706.05266 · arxiv_version: 1706.05266v4 · doi: 10.48550/arxiv.1706.05266 · pith_short_12: 4HRAKD6ENL3I · pith_short_16: 4HRAKD6ENL3IYGF5 · pith_short_8: 4HRAKD6E

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/4HRAKD6ENL3IYGF5HTCQYWBPKW \
  | 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: e1e2050fc46af68c18bd3cc50c582f55bf8b9dd1014f7a4f0f5a498367c791f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a82fea760e8fdaaf845b79fd574640df60e6c3231e566abb9a84453675a3cbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-15T12:39:11Z",
    "title_canon_sha256": "c86234dd39b3dc70036a50e55017a2f75ff88c9767cd500d0377f070e7e15ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05266",
    "kind": "arxiv",
    "version": 4
  }
}