Pith Number

pith:AI76RMQI

pith:2011:AI76RMQI3CRDFCROE7FQKXLJEG

not attested not anchored not stored refs pending

Isospectral Metrics on Projective Spaces

Ralf Rueckriemen

arxiv:1104.2221 v1 · 2011-04-12 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI76RMQI3CRDFCROE7FQKXLJEG}

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	2026-05-18T04:24:35.722916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023fe8b208d8a2328a2e27cb055d692196400a2e27b3d6b7445acf24dec730b0

Aliases

arxiv: 1104.2221 · arxiv_version: 1104.2221v1 · doi: 10.48550/arxiv.1104.2221 · pith_short_12: AI76RMQI3CRD · pith_short_16: AI76RMQI3CRDFCRO · pith_short_8: AI76RMQI

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/AI76RMQI3CRDFCROE7FQKXLJEG \
  | 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: 023fe8b208d8a2328a2e27cb055d692196400a2e27b3d6b7445acf24dec730b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d051b404750f73700982be6623240645397d607056fbecb558312fa7f85fff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-04-12T14:18:04Z",
    "title_canon_sha256": "6d44401a25926151c97b508217dc23fed722352f6c75608f762e20b3d37869dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2221",
    "kind": "arxiv",
    "version": 1
  }
}