Pith Number

pith:SZ7PPQEZ

pith:2012:SZ7PPQEZM4UERMSCRF5YG2NROR

not attested not anchored not stored refs pending

Division of holomorphic functions and growth conditions

Emmanuel Mazzilli, William Alexandre

arxiv:1207.1565 v1 · 2012-07-06 · 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{SZ7PPQEZM4UERMSCRF5YG2NROR}

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	2026-05-18T03:51:36.851590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967ef7c099672848b242897b8369b1745c226ad3a3b7b84f1051229ad22e5b12

Aliases

arxiv: 1207.1565 · arxiv_version: 1207.1565v1 · doi: 10.48550/arxiv.1207.1565 · pith_short_12: SZ7PPQEZM4UE · pith_short_16: SZ7PPQEZM4UERMSC · pith_short_8: SZ7PPQEZ

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/SZ7PPQEZM4UERMSCRF5YG2NROR \
  | 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: 967ef7c099672848b242897b8369b1745c226ad3a3b7b84f1051229ad22e5b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "759582ce80f05c9e09aa17c50ab101c4f33b0fec0cc7616c2c3f7076096e4b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-06T09:31:07Z",
    "title_canon_sha256": "0c9ea419c0234febdcf0849de1748d0a913fb47b7edeff7c0fdd3876baf1a7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1565",
    "kind": "arxiv",
    "version": 1
  }
}