Pith Number

pith:IYLBPQ7V

pith:2016:IYLBPQ7V5ZEPZ6WA7SX7V7AJPO

not attested not anchored not stored refs pending

Malgrange division by quasianalytic functions

Edward Bierstone, Pierre D. Milman

arxiv:1606.07824 v1 · 2016-06-24 · math.CV · math.CA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYLBPQ7V5ZEPZ6WA7SX7V7AJPO}

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	2026-05-18T00:42:32.758003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461617c3f5ee48fcfac0fcaffafc097bac94b83c072054d08e2d4f087c86a1ee

Aliases

arxiv: 1606.07824 · arxiv_version: 1606.07824v1 · doi: 10.48550/arxiv.1606.07824 · pith_short_12: IYLBPQ7V5ZEP · pith_short_16: IYLBPQ7V5ZEPZ6WA · pith_short_8: IYLBPQ7V

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/IYLBPQ7V5ZEPZ6WA7SX7V7AJPO \
  | 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: 461617c3f5ee48fcfac0fcaffafc097bac94b83c072054d08e2d4f087c86a1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ddb1a951b007d0e4a887a373f5b0b5818b2543ba8cc46e0580e1bb35776c437",
    "cross_cats_sorted": [
      "math.CA",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-06-24T20:09:56Z",
    "title_canon_sha256": "ad6f06beaf3e096239c84db709c90896e92f06a5cf5a05705a3f286ea0f40e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07824",
    "kind": "arxiv",
    "version": 1
  }
}