Pith Number

pith:RAHJVDTU

pith:2013:RAHJVDTU4QP2MXZKU2BNGQJQKU

not attested not anchored not stored refs pending

Flat bundles and Hyper-Hodge decomposition on solvmanifolds

Hisashi Kasuya

arxiv:1309.4264 v2 · 2013-09-17 · math.DG · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAHJVDTU4QP2MXZKU2BNGQJQKU}

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	2026-05-18T02:35:52.339184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880e9a8e74e41fa65f2aa682d34130553297d1890260c9dbd2fbd9beb5b60f6c

Aliases

arxiv: 1309.4264 · arxiv_version: 1309.4264v2 · doi: 10.48550/arxiv.1309.4264 · pith_short_12: RAHJVDTU4QP2 · pith_short_16: RAHJVDTU4QP2MXZK · pith_short_8: RAHJVDTU

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/RAHJVDTU4QP2MXZKU2BNGQJQKU \
  | 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: 880e9a8e74e41fa65f2aa682d34130553297d1890260c9dbd2fbd9beb5b60f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c913da6eca9adf03e269aa1b3e945bdcc0f34b206845bb55aefee752a2a00a",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-17T11:38:48Z",
    "title_canon_sha256": "9bd5f26f6d56a84f9f72ad91a097613aa3ee6749563f0dddb1d2ff67137a7fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4264",
    "kind": "arxiv",
    "version": 2
  }
}