Pith Number

pith:JC3UGQN7

pith:2009:JC3UGQN77Q6LTE4PVGTYQJBF4G

not attested not anchored not stored refs pending

Topological classification of torus manifolds which have codimension one extended actions

Shintar\^o Kuroki, Suyoung Choi

arxiv:0906.1335 v2 · 2009-06-07 · 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{JC3UGQN77Q6LTE4PVGTYQJBF4G}

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	2026-05-18T02:41:51.240457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b74341bffc3cb9938fa9a7882425e1ad4531b1838555673a2130625a7b8110

Aliases

arxiv: 0906.1335 · arxiv_version: 0906.1335v2 · doi: 10.48550/arxiv.0906.1335 · pith_short_12: JC3UGQN77Q6L · pith_short_16: JC3UGQN77Q6LTE4P · pith_short_8: JC3UGQN7

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/JC3UGQN77Q6LTE4PVGTYQJBF4G \
  | 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: 48b74341bffc3cb9938fa9a7882425e1ad4531b1838555673a2130625a7b8110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0819c07c710627905a8cbcbe29d6cf02b75fa4fb357dcd442bd370d8a1798f5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-06-07T07:27:43Z",
    "title_canon_sha256": "687635ec3231bf7609fc0156237f911129073fc7d047b4a9bd5fc24633e2b807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1335",
    "kind": "arxiv",
    "version": 2
  }
}