Pith Number

pith:W5R3GVZF

pith:2014:W5R3GVZFLAAYE42SK4YWAKAVC4

not attested not anchored not stored refs pending

Compact spacelike surfaces whose mean curvature function satisfies a nonlinear inequality in a 3-dimensional Generalized Robertson-Walker spacetime

Alfonso Romero, Rafael M. Rubio

arxiv:1409.1991 v1 · 2014-09-06 · 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{W5R3GVZFLAAYE42SK4YWAKAVC4}

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	2026-05-18T02:43:18.216214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b763b3572558018273525731602815171e02896beb3fa9aef4a449728cb9cbb1

Aliases

arxiv: 1409.1991 · arxiv_version: 1409.1991v1 · doi: 10.48550/arxiv.1409.1991 · pith_short_12: W5R3GVZFLAAY · pith_short_16: W5R3GVZFLAAYE42S · pith_short_8: W5R3GVZF

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/W5R3GVZFLAAYE42SK4YWAKAVC4 \
  | 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: b763b3572558018273525731602815171e02896beb3fa9aef4a449728cb9cbb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11197c3e096a07bc29fdf67c42ceb1673a1ea78643bb931c07e7a7adf7b4e5d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-06T07:08:09Z",
    "title_canon_sha256": "688447b3fb04b95751810c47aa45728359b5a16f2693fb0098dcac3d50f30539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1991",
    "kind": "arxiv",
    "version": 1
  }
}