Pith Number

pith:5MYVJJ3J

pith:2011:5MYVJJ3JONNZGK362D5BIPVNFR

not attested not anchored not stored refs pending

The second Dirac eigenvalue of a nearly parallel $G_2$-manifold

Thomas Friedrich

arxiv:1104.0745 v1 · 2011-04-05 · 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{5MYVJJ3JONNZGK362D5BIPVNFR}

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	2026-05-18T04:25:02.647233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3154a769735b932b7ed0fa143ead2c59c52abe4f1ec199a28695086c285b39

Aliases

arxiv: 1104.0745 · arxiv_version: 1104.0745v1 · doi: 10.48550/arxiv.1104.0745 · pith_short_12: 5MYVJJ3JONNZ · pith_short_16: 5MYVJJ3JONNZGK36 · pith_short_8: 5MYVJJ3J

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/5MYVJJ3JONNZGK362D5BIPVNFR \
  | 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: eb3154a769735b932b7ed0fa143ead2c59c52abe4f1ec199a28695086c285b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7db2042b3fb7eb39870a7438de0d1cb3bc8e70d052c6dc43d2e1e2d0a50155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-05T06:55:27Z",
    "title_canon_sha256": "7b4f52804ee083ba6740706c1bafb393c40428f5463fce0689602d5ee9e11978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0745",
    "kind": "arxiv",
    "version": 1
  }
}