Pith Number

pith:BDRYC6AA

pith:2015:BDRYC6AAEJ4TPNSWG2JZ3YAENL

not attested not anchored not stored refs pending

Einstein solvmanifolds have maximal symmetry

Carolyn S. Gordon, Michael R. Jablonski

arxiv:1507.08321 v1 · 2015-07-29 · 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{BDRYC6AAEJ4TPNSWG2JZ3YAENL}

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	2026-05-18T01:36:07.775309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e3817800227937b65636939de0046aebff93152469017f50814f0f7898efca

Aliases

arxiv: 1507.08321 · arxiv_version: 1507.08321v1 · doi: 10.48550/arxiv.1507.08321 · pith_short_12: BDRYC6AAEJ4T · pith_short_16: BDRYC6AAEJ4TPNSW · pith_short_8: BDRYC6AA

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/BDRYC6AAEJ4TPNSWG2JZ3YAENL \
  | 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: 08e3817800227937b65636939de0046aebff93152469017f50814f0f7898efca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c60ec8e3482795547bbeed15a6e5cf064961aa3cdc58806ef05f73c8568d381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-29T21:14:28Z",
    "title_canon_sha256": "406b1974f43f29805627345e4ad7ad8ecd7e25a2aaacfd5d4db02f9e894309b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08321",
    "kind": "arxiv",
    "version": 1
  }
}