Pith Number

pith:LYNTNHZ4

pith:2010:LYNTNHZ4Q5KCBT6Q3I2IG4W7MW

not attested not anchored not stored refs pending

A mean curvature estimate for cylindrically bounded submanifolds

Luis J. Alias, Marcos Dajczer

arxiv:1009.4629 v2 · 2010-09-23 · 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{LYNTNHZ4Q5KCBT6Q3I2IG4W7MW}

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	2026-05-18T04:18:44.974727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e1b369f3c875420cfd0da348372df659e46cbc20c0e32d28eb18bbde71ff885

Aliases

arxiv: 1009.4629 · arxiv_version: 1009.4629v2 · doi: 10.48550/arxiv.1009.4629 · pith_short_12: LYNTNHZ4Q5KC · pith_short_16: LYNTNHZ4Q5KCBT6Q · pith_short_8: LYNTNHZ4

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/LYNTNHZ4Q5KCBT6Q3I2IG4W7MW \
  | 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: 5e1b369f3c875420cfd0da348372df659e46cbc20c0e32d28eb18bbde71ff885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29edbbbed0d69122001f990661990f9400f9be6714ed7163e771b5f593dd51c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-23T15:06:39Z",
    "title_canon_sha256": "ea0b59cce77dec212c79118d7f04e87b5734b7f619f6cee8df49db4c5da7ac2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4629",
    "kind": "arxiv",
    "version": 2
  }
}