Pith Number

pith:SKTQ7SWF

pith:2012:SKTQ7SWF76YB4J4NPQCBIBXLJY

not attested not anchored not stored refs pending

Pre-c-symplectic condition for the product of odd-spheres

Junro Sato, Toshihiro Yamaguchi

arxiv:1206.5060 v1 · 2012-06-22 · 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{SKTQ7SWF76YB4J4NPQCBIBXLJY}

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	2026-05-18T03:52:52.466239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92a70fcac5ffb01e278d7c041406eb4e36b512035abf4abbd1a82b02464000d2

Aliases

arxiv: 1206.5060 · arxiv_version: 1206.5060v1 · doi: 10.48550/arxiv.1206.5060 · pith_short_12: SKTQ7SWF76YB · pith_short_16: SKTQ7SWF76YB4J4N · pith_short_8: SKTQ7SWF

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/SKTQ7SWF76YB4J4NPQCBIBXLJY \
  | 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: 92a70fcac5ffb01e278d7c041406eb4e36b512035abf4abbd1a82b02464000d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d2c44973e802fa9deec58188c5711b46ea192188be98e8e46d17c3b215021d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-22T06:10:51Z",
    "title_canon_sha256": "3a9878c1afd3154cd0d8f281831e1df67f2768be97ab2fd914ef54bdace07e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5060",
    "kind": "arxiv",
    "version": 1
  }
}