Pith Number

pith:PVP22ZWO

pith:2016:PVP22ZWO6M34MCKJ2MTAYAV6BI

not attested not anchored not stored refs pending

On Andrews-Curtis conjectures for soluble groups

Luc Guyot

arxiv:1612.06912 v2 · 2016-12-20 · 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{PVP22ZWO6M34MCKJ2MTAYAV6BI}

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	2026-05-18T00:29:15.452844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d5fad66cef337c60949d3260c02be0a3c0a657ba58a3c5b0765653b43ad0fa0

Aliases

arxiv: 1612.06912 · arxiv_version: 1612.06912v2 · doi: 10.48550/arxiv.1612.06912 · pith_short_12: PVP22ZWO6M34 · pith_short_16: PVP22ZWO6M34MCKJ · pith_short_8: PVP22ZWO

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/PVP22ZWO6M34MCKJ2MTAYAV6BI \
  | 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: 7d5fad66cef337c60949d3260c02be0a3c0a657ba58a3c5b0765653b43ad0fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1587be7a66702354acaa227c126d81439d301c2d991c874b3806e77a67b2e6f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-20T23:01:15Z",
    "title_canon_sha256": "0f593a0bf75ae81b275a4d24cc614ee938d9cb82263753f018bcb75a5b681f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06912",
    "kind": "arxiv",
    "version": 2
  }
}