Pith Number

pith:VQKJFY3C

pith:2011:VQKJFY3CPEYXF5DHJZFA7SSNJ2

not attested not anchored not stored refs pending

Diffusion determines the compact manifold

A.F.M. ter Elst, W. Arendt

arxiv:1104.1012 v1 · 2011-04-06 · math.AP · 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{VQKJFY3CPEYXF5DHJZFA7SSNJ2}

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	2026-05-18T04:24:53.795010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1492e362793172f4674e4a0fca4d4ebf127d6c2cfa5594ac7714e6d45f27c4

Aliases

arxiv: 1104.1012 · arxiv_version: 1104.1012v1 · doi: 10.48550/arxiv.1104.1012 · pith_short_12: VQKJFY3CPEYX · pith_short_16: VQKJFY3CPEYXF5DH · pith_short_8: VQKJFY3C

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/VQKJFY3CPEYXF5DHJZFA7SSNJ2 \
  | 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: ac1492e362793172f4674e4a0fca4d4ebf127d6c2cfa5594ac7714e6d45f27c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472cac1366b27772868865c6c8ed716fd6cf402031d5b4cf3743e6ed176cab5d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-06T05:54:26Z",
    "title_canon_sha256": "08d987c20b62c6445f0d119ef5c38857250f274e5967980b17967f60049c50a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1012",
    "kind": "arxiv",
    "version": 1
  }
}