Pith Number

pith:XY55NLRP

pith:2017:XY55NLRP7PQFOHREF6G5BVQFVQ

not attested not anchored not stored refs pending

Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow

Vicent Gimeno

arxiv:1712.07675 v1 · 2017-12-20 · 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{XY55NLRP7PQFOHREF6G5BVQFVQ}

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	2026-05-18T00:27:31.256817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3bd6ae2ffbe0571e242f8dd0d605ac01624422874c276e9818ef552f6123fd

Aliases

arxiv: 1712.07675 · arxiv_version: 1712.07675v1 · doi: 10.48550/arxiv.1712.07675 · pith_short_12: XY55NLRP7PQF · pith_short_16: XY55NLRP7PQFOHRE · pith_short_8: XY55NLRP

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/XY55NLRP7PQFOHREF6G5BVQFVQ \
  | 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: be3bd6ae2ffbe0571e242f8dd0d605ac01624422874c276e9818ef552f6123fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757ffdc9286d3bde44919ae38414ff8da7abac400ed7f5a55aae3ca8ff40f8e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-20T19:12:06Z",
    "title_canon_sha256": "d7bf79d0de5fcd5ef286aa65f7b526c0345959d835944e1cbd999cbcebdeb8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07675",
    "kind": "arxiv",
    "version": 1
  }
}