Pith Number

pith:3BXYI5HM

pith:2006:3BXYI5HMTO67SPVNQQ4KOFGFMU

not attested not anchored not stored refs pending

Obstructions to the Existence of Sasaki-Einstein Metrics

Dario Martelli, James Sparks, Jerome P. Gauntlett, Shing-Tung Yau

arxiv:hep-th/0607080 v2 · 2006-07-12 · hep-th · 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{3BXYI5HMTO67SPVNQQ4KOFGFMU}

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	2026-07-04T15:22:41.461473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86f8474ec9bbdf93ead8438a714c56510949f2f347d8d05da44fb5837583690

Aliases

arxiv: hep-th/0607080 · arxiv_version: hep-th/0607080v2 · doi: 10.48550/arxiv.hep-th/0607080 · pith_short_12: 3BXYI5HMTO67 · pith_short_16: 3BXYI5HMTO67SPVN · pith_short_8: 3BXYI5HM

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/3BXYI5HMTO67SPVNQQ4KOFGFMU \
  | 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: d86f8474ec9bbdf93ead8438a714c56510949f2f347d8d05da44fb5837583690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7f844ea242dfd6da6c92d67ab26db6a517b735381418bac1a1524feaef5531",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-07-12T15:39:57Z",
    "title_canon_sha256": "50535f18747f3f299b7257fcff41d2690cc267d9af90dbe92ad61898e84267ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0607080",
    "kind": "arxiv",
    "version": 2
  }
}