Pith Number

pith:SSZM67R2

pith:2013:SSZM67R2JJOMFD6BBEDCVNLX5O

not attested not anchored not stored refs pending

Free 2-rank of symmetry of products of Milnor manifolds

Mahender Singh

arxiv:1309.7475 v1 · 2013-09-28 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSZM67R2JJOMFD6BBEDCVNLX5O}

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	2026-05-18T02:56:32.413221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b2cf7e3a4a5cc28fc109062ab577ebba52f8e86dad9f41bfde88190fe52405

Aliases

arxiv: 1309.7475 · arxiv_version: 1309.7475v1 · doi: 10.48550/arxiv.1309.7475 · pith_short_12: SSZM67R2JJOM · pith_short_16: SSZM67R2JJOMFD6B · pith_short_8: SSZM67R2

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/SSZM67R2JJOMFD6BBEDCVNLX5O \
  | 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: 94b2cf7e3a4a5cc28fc109062ab577ebba52f8e86dad9f41bfde88190fe52405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73adfc2f7f50d07ffef4ded80850419ba08a3ce57e7cd0dae930fcdbafe8ffb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-09-28T16:36:09Z",
    "title_canon_sha256": "d98ce75e9436668575d42879d95e083b887919ba178c5f5fe163b6186f329d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7475",
    "kind": "arxiv",
    "version": 1
  }
}