Pith Number

pith:S6KAYMWV

pith:2012:S6KAYMWVWN6C3UWLQ5WWL6OYGQ

not attested not anchored not stored refs pending

Curvature estimates for properly immersed $\phi_{h}$-bounded submanifolds

Barnabe P. Lima, G. Pacelli Bessa, Leandro F. Pessoa

arxiv:1211.5910 v1 · 2012-11-26 · 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{S6KAYMWVWN6C3UWLQ5WWL6OYGQ}

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	2026-05-18T03:39:53.833869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97940c32d5b37c2dd2cb876d65f9d8340c27f7364c09e976fc1c8d2fb7db4c7d

Aliases

arxiv: 1211.5910 · arxiv_version: 1211.5910v1 · doi: 10.48550/arxiv.1211.5910 · pith_short_12: S6KAYMWVWN6C · pith_short_16: S6KAYMWVWN6C3UWL · pith_short_8: S6KAYMWV

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/S6KAYMWVWN6C3UWLQ5WWL6OYGQ \
  | 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: 97940c32d5b37c2dd2cb876d65f9d8340c27f7364c09e976fc1c8d2fb7db4c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea98663e65cc7204c2e8837ae3eddb300ffce73c17654bc6c7b635e9c79c1810",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-26T11:06:12Z",
    "title_canon_sha256": "af3539237d53f88a8d65a802becd22ca7fae8bb2cee470fd5bfe5a0e8e219f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5910",
    "kind": "arxiv",
    "version": 1
  }
}