Pith Number

pith:MGEVEHOS

pith:2013:MGEVEHOSVC3MRBV62FOFU5AWR2

not attested not anchored not stored refs pending

Constant mean curvature spheres in homogeneous three-spheres

Antonio Ros, Joaquin Perez, Pablo Mira, William H. Meeks III

arxiv:1308.2612 v2 · 2013-08-12 · 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{MGEVEHOSVC3MRBV62FOFU5AWR2}

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	2026-05-18T03:15:57.109877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6189521dd2a8b6c886bed15c5a74168eaabb3bd45e31c995dbf5939e10560ec3

Aliases

arxiv: 1308.2612 · arxiv_version: 1308.2612v2 · doi: 10.48550/arxiv.1308.2612 · pith_short_12: MGEVEHOSVC3M · pith_short_16: MGEVEHOSVC3MRBV6 · pith_short_8: MGEVEHOS

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/MGEVEHOSVC3MRBV62FOFU5AWR2 \
  | 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: 6189521dd2a8b6c886bed15c5a74168eaabb3bd45e31c995dbf5939e10560ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca02a32ba4c0f64bb836cada709e0279e22c22a6e9ad4762446af7d109aaf4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-12T16:20:53Z",
    "title_canon_sha256": "77a0f2a3a7ce35596488202a4e2c512ff2e39d9c10ac2bc98e80427ea81c2096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2612",
    "kind": "arxiv",
    "version": 2
  }
}