Pith Number

pith:LPFSIIVH

pith:2006:LPFSIIVHGTA5IOIQKGTJTUTXVS

not attested not anchored not stored refs pending

Manifolds with large isotropy groups

Andreas Kollross, Evangelia Samiou

arxiv:math/0612314 v1 · 2006-12-12 · 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{LPFSIIVHGTA5IOIQKGTJTUTXVS}

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	2026-05-18T04:22:09.509813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcb2422a734c1d4391051a699d277aca1aa7ffd54e65bf856f86c8cbe95f892

Aliases

arxiv: math/0612314 · arxiv_version: math/0612314v1 · doi: 10.48550/arxiv.math/0612314 · pith_short_12: LPFSIIVHGTA5 · pith_short_16: LPFSIIVHGTA5IOIQ · pith_short_8: LPFSIIVH

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/LPFSIIVHGTA5IOIQKGTJTUTXVS \
  | 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: 5bcb2422a734c1d4391051a699d277aca1aa7ffd54e65bf856f86c8cbe95f892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f567400a4e753b02ab46d7e8741c29090ee53cd257926ffd1f46f069e3d367",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-12T17:08:10Z",
    "title_canon_sha256": "ae95d21b1b495bed82751846cb84332d21180964a9fd7391f9cd455df66c47da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612314",
    "kind": "arxiv",
    "version": 1
  }
}