Pith Number

pith:N7QZTLTE

pith:2011:N7QZTLTE4P3HKGK5H2NHHDDKKZ

not attested not anchored not stored refs pending

Extending cutoff resolvent estimates via propagation of singularities

Kiril Datchev

arxiv:1107.2941 v2 · 2011-07-14 · 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{N7QZTLTE4P3HKGK5H2NHHDDKKZ}

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	2026-05-18T03:41:58.972663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe199ae64e3f675195d3e9a738c6a567a7c8557d4a0fa47566ac2a930cc20eb

Aliases

arxiv: 1107.2941 · arxiv_version: 1107.2941v2 · doi: 10.48550/arxiv.1107.2941 · pith_short_12: N7QZTLTE4P3H · pith_short_16: N7QZTLTE4P3HKGK5 · pith_short_8: N7QZTLTE

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/N7QZTLTE4P3HKGK5H2NHHDDKKZ \
  | 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: 6fe199ae64e3f675195d3e9a738c6a567a7c8557d4a0fa47566ac2a930cc20eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e83907458c147627ef700861c4bc5b9de4b55fb313165237d40208827946a55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-14T20:15:56Z",
    "title_canon_sha256": "757da17d661c6506934fa6e70c8ba41ee62ebf9c69feabc06e316cb4c7d3c8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2941",
    "kind": "arxiv",
    "version": 2
  }
}