Pith Number

pith:AQZNR2KN

pith:2012:AQZNR2KN27SVN5JITGEKQR3N6Z

not attested not anchored not stored refs pending

A vanishing result for strictly p-convex domains

Daniele Angella, Simone Calamai

arxiv:1211.2564 v2 · 2012-11-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQZNR2KN27SVN5JITGEKQR3N6Z}

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	2026-05-18T02:30:16.031544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0432d8e94dd7e556f5289988a8476df67b2951fcfececde15ff54c8b8dc7f87a

Aliases

arxiv: 1211.2564 · arxiv_version: 1211.2564v2 · doi: 10.48550/arxiv.1211.2564 · pith_short_12: AQZNR2KN27SV · pith_short_16: AQZNR2KN27SVN5JI · pith_short_8: AQZNR2KN

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/AQZNR2KN27SVN5JITGEKQR3N6Z \
  | 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: 0432d8e94dd7e556f5289988a8476df67b2951fcfececde15ff54c8b8dc7f87a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb904d97322fb49fb0808180af4625d91067d87dd9bd684e5aaa174ef40b254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-12T11:06:01Z",
    "title_canon_sha256": "ea5de706f5393fa3b37793f5cf90e0ac87ba8d9f9aa5e807983d2737b0de4628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2564",
    "kind": "arxiv",
    "version": 2
  }
}