Pith Number

pith:6JICDNR3

pith:2013:6JICDNR3FU6RJOWMDERBWDZORM

not attested not anchored not stored refs pending

Embeddings of Riemannian manifolds with heat kernels and eigenfunctions

Jacobus W. Portegies

arxiv:1311.7568 v2 · 2013-11-29 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JICDNR3FU6RJOWMDERBWDZORM}

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	2026-05-18T02:47:05.582480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25021b63b2d3d14bacc19221b0f2e8b2d4db6a489768f3a4b19d5be82a6bddb

Aliases

arxiv: 1311.7568 · arxiv_version: 1311.7568v2 · doi: 10.48550/arxiv.1311.7568 · pith_short_12: 6JICDNR3FU6R · pith_short_16: 6JICDNR3FU6RJOWM · pith_short_8: 6JICDNR3

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/6JICDNR3FU6RJOWMDERBWDZORM \
  | 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: f25021b63b2d3d14bacc19221b0f2e8b2d4db6a489768f3a4b19d5be82a6bddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a883a9172e0ca3148c1ca39b30ff4a75c0049ab1a951f377e389b0a0892b81fb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-29T14:05:44Z",
    "title_canon_sha256": "d2eddb154007513e0bcb41053e16ca64374c7c3cfc613b28b43d181edb62e378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7568",
    "kind": "arxiv",
    "version": 2
  }
}