Pith Number

pith:HYOHPAT2

pith:2010:HYOHPAT22RSG3AHIBBDCSHCF3H

not attested not anchored not stored refs pending

Curvature estimates for submanifolds in warped products

G. P. Bessa, J. F. Montenegro, L. J. Alias, P. Piccione

arxiv:1009.3467 v1 · 2010-09-17 · 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{HYOHPAT22RSG3AHIBBDCSHCF3H}

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	2026-05-18T04:40:45.640341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1c77827ad4646d80e80846291c45d9dbb84c834669ece03344c801d529e3ca

Aliases

arxiv: 1009.3467 · arxiv_version: 1009.3467v1 · doi: 10.48550/arxiv.1009.3467 · pith_short_12: HYOHPAT22RSG · pith_short_16: HYOHPAT22RSG3AHI · pith_short_8: HYOHPAT2

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/HYOHPAT22RSG3AHIBBDCSHCF3H \
  | 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: 3e1c77827ad4646d80e80846291c45d9dbb84c834669ece03344c801d529e3ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a6be62ed37f29c0c6c318f0998b10afa5eeba4c91c35771ba632caf1a0f7fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-17T16:54:41Z",
    "title_canon_sha256": "685e8f980e1c42c22c74d303644884c175e210f638b20e007e5c97b401b30747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3467",
    "kind": "arxiv",
    "version": 1
  }
}