Pith Number

pith:X7YIRZK6

pith:2015:X7YIRZK6IUBO37ADKHTPNEUUKE

not attested not anchored not stored refs pending

Euler characteristic numbers of space-like manifolds

Bing-Long Chen, Kun Zhang

arxiv:1511.04537 v1 · 2015-11-14 · 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{X7YIRZK6IUBO37ADKHTPNEUUKE}

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	2026-05-18T01:26:52.427496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff088e55e4502edfc0351e6f69294511c58ca64921c8c3772cafff2dd527a7d

Aliases

arxiv: 1511.04537 · arxiv_version: 1511.04537v1 · doi: 10.48550/arxiv.1511.04537 · pith_short_12: X7YIRZK6IUBO · pith_short_16: X7YIRZK6IUBO37AD · pith_short_8: X7YIRZK6

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/X7YIRZK6IUBO37ADKHTPNEUUKE \
  | 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: bff088e55e4502edfc0351e6f69294511c58ca64921c8c3772cafff2dd527a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8229c5d89987de6ce97d6c1108ab3de8ec7114d51be51c3a3464c5a9720e61c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-14T09:50:02Z",
    "title_canon_sha256": "f43809179f193127ed1851a2f9510de1fb5d76cdd43208ca52f668a17054a61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04537",
    "kind": "arxiv",
    "version": 1
  }
}