Pith Number

pith:MHDD4AEZ

pith:2011:MHDD4AEZLTQJNGBJ6BH5SCZK34

not attested not anchored not stored refs pending

Calabi-Yau Three-folds: Poincare Polynomials and Fractals

Anthony Ashmore, Yang-Hui He

arxiv:1110.1612 v1 · 2011-10-07 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHDD4AEZLTQJNGBJ6BH5SCZK34}

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	2026-05-18T00:50:13.912737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c63e00995ce0969829f04fd90b2adf3654a93d5e83cbda4480b64b9a7fc8e7

Aliases

arxiv: 1110.1612 · arxiv_version: 1110.1612v1 · doi: 10.48550/arxiv.1110.1612 · pith_short_12: MHDD4AEZLTQJ · pith_short_16: MHDD4AEZLTQJNGBJ · pith_short_8: MHDD4AEZ

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/MHDD4AEZLTQJNGBJ6BH5SCZK34 \
  | 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: 61c63e00995ce0969829f04fd90b2adf3654a93d5e83cbda4480b64b9a7fc8e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650226998183638714762e0fe9aeeee7caeff5ba4ce53eb101c51f81f8958d85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-07T19:17:53Z",
    "title_canon_sha256": "9bb422c1e64e9f9b7031b65cc987b0d43f4ff5063767725f3fecc44b844535f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1612",
    "kind": "arxiv",
    "version": 1
  }
}