Pith Number

pith:LW5F62ZB

pith:2012:LW5F62ZB477MAIIYU2CEBPEGBT

not attested not anchored not stored refs pending

Classification of topological symmetry groups of $K_n$

Blake Mellor, Erica Flapan, Michael Yoshizawa, Ramin Naimi

arxiv:1205.1560 v3 · 2012-05-07 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW5F62ZB477MAIIYU2CEBPEGBT}

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	2026-05-18T02:30:40.689336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dba5f6b21e7fec02118a68440bc860ce176035e90018015c619f4b6583b22b9

Aliases

arxiv: 1205.1560 · arxiv_version: 1205.1560v3 · doi: 10.48550/arxiv.1205.1560 · pith_short_12: LW5F62ZB477M · pith_short_16: LW5F62ZB477MAIIY · pith_short_8: LW5F62ZB

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/LW5F62ZB477MAIIYU2CEBPEGBT \
  | 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: 5dba5f6b21e7fec02118a68440bc860ce176035e90018015c619f4b6583b22b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff7856e363c669b62c24bdc7a3930000c75106e296fd5c58c88ea2eb262eb96",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-07T23:56:26Z",
    "title_canon_sha256": "59d96a9744f0db8f8155dfe913d108d87b9e36bee3727d4bb967748f216da3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1560",
    "kind": "arxiv",
    "version": 3
  }
}