Pith Number

pith:6QZ2GVZT

pith:2010:6QZ2GVZT3V5FAGYBTCBOH2KTB7

not attested not anchored not stored refs pending

Osgood-Hartogs type properties of power series and smooth functions

Buma L. Fridman, Daowei Ma

arxiv:1005.0859 v4 · 2010-05-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QZ2GVZT3V5FAGYBTCBOH2KTB7}

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	2026-05-18T04:31:21.414696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f433a35733dd7a501b019882e3e9530fd3b8494c2c6155ab5207d7440c1fb690

Aliases

arxiv: 1005.0859 · arxiv_version: 1005.0859v4 · doi: 10.48550/arxiv.1005.0859 · pith_short_12: 6QZ2GVZT3V5F · pith_short_16: 6QZ2GVZT3V5FAGYB · pith_short_8: 6QZ2GVZT

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/6QZ2GVZT3V5FAGYBTCBOH2KTB7 \
  | 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: f433a35733dd7a501b019882e3e9530fd3b8494c2c6155ab5207d7440c1fb690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55142fd2141fbf3906d004ec4899eacbcc3c3b38f9f5d9c454e9c9ac038d722c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-05-05T21:59:48Z",
    "title_canon_sha256": "7daaffea7471e9f45fa709d845bc696ffa81c9d42fe81d32c55763e72b55a040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0859",
    "kind": "arxiv",
    "version": 4
  }
}