Pith Number

pith:POFYDDGV

pith:2003:POFYDDGVPYY37DZDMXRSSTZBCV

not attested not anchored not stored refs pending

Balanced presentations of the trivial group on two generators and the Andrews-Curtis conjecture

Alexei D. Miasnikov, Alexei G. Myasnikov

arxiv:math/0304305 v1 · 2003-04-21 · math.GR · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POFYDDGVPYY37DZDMXRSSTZBCV}

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	2026-07-04T14:37:14.313734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8b818cd57e31bf8f2365e3294f21156446ae73a22ef9c6ab1a71622f6e2899

Aliases

arxiv: math/0304305 · arxiv_version: math/0304305v1 · doi: 10.48550/arxiv.math/0304305 · pith_short_12: POFYDDGVPYY3 · pith_short_16: POFYDDGVPYY37DZD · pith_short_8: POFYDDGV

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/POFYDDGVPYY37DZDMXRSSTZBCV \
  | 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: 7b8b818cd57e31bf8f2365e3294f21156446ae73a22ef9c6ab1a71622f6e2899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c965ded412aa8aa938651211327ab6838a1cf4d43f0829610fa9e8ddb19734",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-04-21T21:01:49Z",
    "title_canon_sha256": "7c937d5e63ffc9fec08b11d8d7dd4ca4aef1f52c7041229adac09dac59eab3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304305",
    "kind": "arxiv",
    "version": 1
  }
}