Pith Number

pith:WVK5DHLE

pith:2013:WVK5DHLEU4AZAGIXMHMWWIZLMF

not attested not anchored not stored refs pending

A note on torsion length

Maurice Chiodo, Rishi Vyas

arxiv:1303.1784 v2 · 2013-03-07 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVK5DHLEU4AZAGIXMHMWWIZLMF}

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	2026-05-18T00:06:44.329155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b555d19d64a70190191761d96b232b616fa9d728caa2d7c4f711334e1db12a09

Aliases

arxiv: 1303.1784 · arxiv_version: 1303.1784v2 · doi: 10.48550/arxiv.1303.1784 · pith_short_12: WVK5DHLEU4AZ · pith_short_16: WVK5DHLEU4AZAGIX · pith_short_8: WVK5DHLE

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/WVK5DHLEU4AZAGIXMHMWWIZLMF \
  | 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: b555d19d64a70190191761d96b232b616fa9d728caa2d7c4f711334e1db12a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3c395717ebe8d60f2af04087f4cc3bcccba3812b2c344244108a4d73d48fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-07T19:20:37Z",
    "title_canon_sha256": "4bf93141ae3910106012f069f6a378b8fc2a022ff04b536447497bd35b35352b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1784",
    "kind": "arxiv",
    "version": 2
  }
}