Pith Number

pith:4I2GZT4W

pith:2014:4I2GZT4WXJGFLVKAYOYONJSJBK

not attested not anchored not stored refs pending

Distinguishing geometries using finite quotients

Henry Wilton, Pavel Zalesskii

arxiv:1411.5212 v2 · 2014-11-19 · math.GR · 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{4I2GZT4WXJGFLVKAYOYONJSJBK}

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	2026-05-18T00:50:48.189291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2346ccf96ba4c55d540c3b0e6a6490aac39075ae87d6eabc2a5f2185d96db5e

Aliases

arxiv: 1411.5212 · arxiv_version: 1411.5212v2 · doi: 10.48550/arxiv.1411.5212 · pith_short_12: 4I2GZT4WXJGF · pith_short_16: 4I2GZT4WXJGFLVKA · pith_short_8: 4I2GZT4W

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/4I2GZT4WXJGFLVKAYOYONJSJBK \
  | 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: e2346ccf96ba4c55d540c3b0e6a6490aac39075ae87d6eabc2a5f2185d96db5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef78af88d676f0a5c5d356de736df2736aa982742ad094be7e4b1759a963e0d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-19T13:17:57Z",
    "title_canon_sha256": "f19026f5d06bfe38107530e2dbacf3e1eabe8d758eeaff8958fcc08825aee054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5212",
    "kind": "arxiv",
    "version": 2
  }
}