Pith Number

pith:3VEOVK4U

pith:2018:3VEOVK4UFRHT72JTCPHZ4SQMXO

not attested not anchored not stored refs pending

Height estimates for $H$-surfaces in the warped product $\mathbb{M}\times_f\mathbb{R}$

Abigail Folha, Carlos Pe\~nafiel, Walcy Santos

arxiv:1803.08107 v1 · 2018-03-21 · 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{3VEOVK4UFRHT72JTCPHZ4SQMXO}

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	2026-05-18T00:20:23.648097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd48eaab942c4f3fe93313cf9e4a0cbb953567f30858a8b7f0f52e217d532f5f

Aliases

arxiv: 1803.08107 · arxiv_version: 1803.08107v1 · doi: 10.48550/arxiv.1803.08107 · pith_short_12: 3VEOVK4UFRHT · pith_short_16: 3VEOVK4UFRHT72JT · pith_short_8: 3VEOVK4U

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/3VEOVK4UFRHT72JTCPHZ4SQMXO \
  | 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: dd48eaab942c4f3fe93313cf9e4a0cbb953567f30858a8b7f0f52e217d532f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8c618550ff5a3edd9aefc0e5a7d53f8e7ec5036fad93ea6ae06ea6ba07c491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-21T19:45:28Z",
    "title_canon_sha256": "2c361b395a89a966401b714ced3480fe68bd9a62e8c5da5cdf3973a174345bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08107",
    "kind": "arxiv",
    "version": 1
  }
}