Pith Number

pith:EKEYBBEA

pith:2012:EKEYBBEADPXKPK7XM5PCMA6YT6

not attested not anchored not stored refs pending

Failure of the Weierstrass Preparation Theorem in quasi-analytic Denjoy-Carleman rings

Andreea Nicoara, Fabrizio Broglia, Francesca Acquistapace, Michail Bronshtein, Nahum Zobin

arxiv:1212.4265 v3 · 2012-12-18 · math.CA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKEYBBEADPXKPK7XM5PCMA6YT6}

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	2026-05-18T02:55:19.429075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22898084801beea7abf7675e2603d89f85f656f8c22fca4d9315e87bfcf8ece7

Aliases

arxiv: 1212.4265 · arxiv_version: 1212.4265v3 · doi: 10.48550/arxiv.1212.4265 · pith_short_12: EKEYBBEADPXK · pith_short_16: EKEYBBEADPXKPK7X · pith_short_8: EKEYBBEA

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/EKEYBBEADPXKPK7XM5PCMA6YT6 \
  | 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: 22898084801beea7abf7675e2603d89f85f656f8c22fca4d9315e87bfcf8ece7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcdbb97010d6489ab433e90eb29b663a9c08fb22f02cf5f9bea61ae4875edc5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-18T08:31:53Z",
    "title_canon_sha256": "38c0643db453c969b0231b1d85c5b74a4ea97f1ff1248390190726f624cba0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4265",
    "kind": "arxiv",
    "version": 3
  }
}