Pith Number

pith:7AKU4IPG

pith:2013:7AKU4IPGJPU4VC33ACA3XYPVE3

not attested not anchored not stored refs pending

Failure of the local-to-global property for CD(K,N) spaces

Tapio Rajala

arxiv:1305.6436 v1 · 2013-05-28 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AKU4IPGJPU4VC33ACA3XYPVE3}

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	2026-05-18T03:24:40.767608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8154e21e64be9ca8b7b0081bbe1f526c10babeead4fb88a1f56d4f519a33258

Aliases

arxiv: 1305.6436 · arxiv_version: 1305.6436v1 · doi: 10.48550/arxiv.1305.6436 · pith_short_12: 7AKU4IPGJPU4 · pith_short_16: 7AKU4IPGJPU4VC33 · pith_short_8: 7AKU4IPG

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/7AKU4IPGJPU4VC33ACA3XYPVE3 \
  | 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: f8154e21e64be9ca8b7b0081bbe1f526c10babeead4fb88a1f56d4f519a33258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c534533843ef8c575b6fb57a430b524e03e2289e7a70dd043b78dabccd14ede",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-28T10:21:56Z",
    "title_canon_sha256": "d139bd7c8b960fc9258eb30bb3cc91c00eb46b55cd35e20918c683a212e44dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6436",
    "kind": "arxiv",
    "version": 1
  }
}