Pith Number

pith:6KYANU4F

pith:2016:6KYANU4FC4WWHQZQDPJJUWHUMM

not attested not anchored not stored refs pending

On conjectures of Andrews and Curtis

Sergei V. Ivanov

arxiv:1606.08196 v1 · 2016-06-27 · 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{6KYANU4FC4WWHQZQDPJJUWHUMM}

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	2026-05-18T01:11:52.578983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b006d385172d63c3301bd29a58f4631314e137857346f700a610967021dcb1

Aliases

arxiv: 1606.08196 · arxiv_version: 1606.08196v1 · doi: 10.48550/arxiv.1606.08196 · pith_short_12: 6KYANU4FC4WW · pith_short_16: 6KYANU4FC4WWHQZQ · pith_short_8: 6KYANU4F

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/6KYANU4FC4WWHQZQDPJJUWHUMM \
  | 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: f2b006d385172d63c3301bd29a58f4631314e137857346f700a610967021dcb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "537fbb934ee285e4aa04f4589f2bfafbdb195b50a90985a2802c8591a07f3042",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-27T10:23:48Z",
    "title_canon_sha256": "7d7c236027914f43d263823ec0dbef155b79b7f771e6b521b068902d9cb054c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08196",
    "kind": "arxiv",
    "version": 1
  }
}