Pith Number

pith:FKDEJX5Y

pith:2013:FKDEJX5YKBTO4KYAOY5BNIIXPW

not attested not anchored not stored refs pending

Complete minimal submanifolds of compact Lie groups

Marina Ville, Martin Svensson, Sigmundur Gudmundsson

arxiv:1308.4781 v3 · 2013-08-22 · 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{FKDEJX5YKBTO4KYAOY5BNIIXPW}

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	2026-05-18T01:29:59.743043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a8644dfb85066ee2b00763a16a1177da558e7b074c7e864fb615ebca29bf499

Aliases

arxiv: 1308.4781 · arxiv_version: 1308.4781v3 · doi: 10.48550/arxiv.1308.4781 · pith_short_12: FKDEJX5YKBTO · pith_short_16: FKDEJX5YKBTO4KYA · pith_short_8: FKDEJX5Y

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/FKDEJX5YKBTO4KYAOY5BNIIXPW \
  | 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: 2a8644dfb85066ee2b00763a16a1177da558e7b074c7e864fb615ebca29bf499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8040dacca8d125d110d92320e197553905435604831aef96bf26bbd5fbd38874",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-22T07:29:39Z",
    "title_canon_sha256": "b294da5a12c2d3d636ba3b3a879390012812c9811f8902a9f6f90974b3270a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4781",
    "kind": "arxiv",
    "version": 3
  }
}