Pith Number

pith:MYU455W6

pith:2011:MYU455W64U3GYG6HRWVMFCQQ5I

not attested not anchored not stored refs pending

The Word Problem in the Baumslag group with a non-elementary Dehn function is polynomial time decidable

Alexander Ushakov, Alexei Miasnikov, Dong Wook Won

arxiv:1102.2481 v1 · 2011-02-12 · 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{MYU455W64U3GYG6HRWVMFCQQ5I}

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	2026-05-18T04:28:47.287066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6629cef6dee5366c1bc78daac28a10ea2c7b239b8b65d24139a490ee973c347c

Aliases

arxiv: 1102.2481 · arxiv_version: 1102.2481v1 · doi: 10.48550/arxiv.1102.2481 · pith_short_12: MYU455W64U3G · pith_short_16: MYU455W64U3GYG6H · pith_short_8: MYU455W6

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/MYU455W64U3GYG6HRWVMFCQQ5I \
  | 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: 6629cef6dee5366c1bc78daac28a10ea2c7b239b8b65d24139a490ee973c347c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "712f93bf557ac9204b6bb992ce2b3ec309b5c2613d8365af3b9b271ad9b700f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-12T06:03:07Z",
    "title_canon_sha256": "fc15ff2d3459e02ef390376332899699b48ebf28f9367341f580b6cc52dcbeb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2481",
    "kind": "arxiv",
    "version": 1
  }
}