Pith Number

pith:CK5U3MWB

pith:2013:CK5U3MWBEG5UMORUISNNURQI72

not attested not anchored not stored refs pending

A note about complexity of lens spaces

Maria Rita Casali, Paola Cristofori

arxiv:1309.5728 v2 · 2013-09-23 · 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{CK5U3MWBEG5UMORUISNNURQI72}

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	2026-05-18T00:28:57.391589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bb4db2c121bb463a34449ada4608fea8beb18345dfd74e6008fc96feb9a4c0

Aliases

arxiv: 1309.5728 · arxiv_version: 1309.5728v2 · doi: 10.48550/arxiv.1309.5728 · pith_short_12: CK5U3MWBEG5U · pith_short_16: CK5U3MWBEG5UMORU · pith_short_8: CK5U3MWB

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/CK5U3MWBEG5UMORUISNNURQI72 \
  | 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: 12bb4db2c121bb463a34449ada4608fea8beb18345dfd74e6008fc96feb9a4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1bec3d5dd30e1b6519b9e20ccbe44b8320c3ce253a133a6a78a669e9085e86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-23T08:44:39Z",
    "title_canon_sha256": "08e6304155cb4e7a2b9aef67981c695a302e8f9dd09ddff3c2a9bb209e286351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5728",
    "kind": "arxiv",
    "version": 2
  }
}