Pith Number

pith:3V5UVR6M

pith:2002:3V5UVR6MOWJ5ECKE7I6QV2KFDP

not attested not anchored not stored refs pending

On the asphericity of LOT-presentations of groups

S.V. Ivanov

arxiv:math/0210193 v1 · 2002-10-13 · 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{3V5UVR6MOWJ5ECKE7I6QV2KFDP}

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	2026-07-04T14:36:37.970082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7b4ac7cc7593d20944fa3d0ae9451bfc712fb7ba8e84a4312ae340caac665f

Aliases

arxiv: math/0210193 · arxiv_version: math/0210193v1 · doi: 10.48550/arxiv.math/0210193 · pith_short_12: 3V5UVR6MOWJ5 · pith_short_16: 3V5UVR6MOWJ5ECKE · pith_short_8: 3V5UVR6M

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/3V5UVR6MOWJ5ECKE7I6QV2KFDP \
  | 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: dd7b4ac7cc7593d20944fa3d0ae9451bfc712fb7ba8e84a4312ae340caac665f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab01f4ffb30899848ae2d49fd66a8943eb1376ba0e7e8d126f5a8aa2320f186c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-10-13T18:32:38Z",
    "title_canon_sha256": "92e6d9738e770e5fa37e98a8decf04c18efec68512666b7c72f5f4438971435b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210193",
    "kind": "arxiv",
    "version": 1
  }
}