Pith Number

pith:5TA6HZ56

pith:2010:5TA6HZ56JDL4EDDEJO3NAM65S3

not attested not anchored not stored refs pending

The spectral length of a map between Riemannian manifolds

Gunther Cornelissen, Jan Willem de Jong

arxiv:1007.0907 v2 · 2010-07-06 · math.DG · 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{5TA6HZ56JDL4EDDEJO3NAM65S3}

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	2026-05-18T04:09:53.788774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc1e3e7be48d7c20c644bb6d033dd96ec24a6a1da71e6acf9e92a29f95681a4

Aliases

arxiv: 1007.0907 · arxiv_version: 1007.0907v2 · doi: 10.48550/arxiv.1007.0907 · pith_short_12: 5TA6HZ56JDL4 · pith_short_16: 5TA6HZ56JDL4EDDE · pith_short_8: 5TA6HZ56

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/5TA6HZ56JDL4EDDEJO3NAM65S3 \
  | 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: ecc1e3e7be48d7c20c644bb6d033dd96ec24a6a1da71e6acf9e92a29f95681a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57d69c9d6e8bb6b8bb429e8de943410a7108fe5802b6ebae207e67121515f161",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-06T14:53:22Z",
    "title_canon_sha256": "ca28177afec2e1d835b32813c8713fff65fe5e0d5dd7e1117a7cda446faff03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0907",
    "kind": "arxiv",
    "version": 2
  }
}