Pith Number

pith:3UEMWLR7

pith:2013:3UEMWLR7PAZBWJD6JLFKGKYE5K

not attested not anchored not stored refs pending

Closed three-dimensional Alexandrov spaces with isometric circle actions

Jes\'us N\'u\~nez-Zimbr\'on

arxiv:1312.0540 v2 · 2013-12-02 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UEMWLR7PAZBWJD6JLFKGKYE5K}

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	2026-05-18T00:05:24.377898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd08cb2e3f78321b247e4acaa32b04ea9beafaf9a0fda7adca77ae7bef545de0

Aliases

arxiv: 1312.0540 · arxiv_version: 1312.0540v2 · doi: 10.48550/arxiv.1312.0540 · pith_short_12: 3UEMWLR7PAZB · pith_short_16: 3UEMWLR7PAZBWJD6 · pith_short_8: 3UEMWLR7

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/3UEMWLR7PAZBWJD6JLFKGKYE5K \
  | 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: dd08cb2e3f78321b247e4acaa32b04ea9beafaf9a0fda7adca77ae7bef545de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3b5ccae299aad93a3b8402edb2a84a6059d0a285e0670d7c01d1538afe8d7d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-02T18:27:15Z",
    "title_canon_sha256": "7022b6e6f1fac70f2df97fae32f9d50c7d52bc30e5b780179300cd70793bc02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0540",
    "kind": "arxiv",
    "version": 2
  }
}