Pith Number

pith:ZIH4UIDG

pith:2023:ZIH4UIDGW42KCLIAQSSDZZ2TJA

not attested not anchored not stored refs pending

On the Andrews-Curtis groups: non-finite presentability

Vitaly Roman'kov

arxiv:2305.11838 v1 · 2023-05-19 · 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{ZIH4UIDGW42KCLIAQSSDZZ2TJA}

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.

Cited by

1 paper in Pith

Andrews-Curtis groups

Receipt and verification

First computed	2026-07-05T06:11:51.722000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0fca2066b734a12d0084a43ce75348261ea88d5654fe31af3c15c5c3b126ae

Aliases

arxiv: 2305.11838 · arxiv_version: 2305.11838v1 · doi: 10.48550/arxiv.2305.11838 · pith_short_12: ZIH4UIDGW42K · pith_short_16: ZIH4UIDGW42KCLIA · pith_short_8: ZIH4UIDG

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/ZIH4UIDGW42KCLIAQSSDZZ2TJA \
  | 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: ca0fca2066b734a12d0084a43ce75348261ea88d5654fe31af3c15c5c3b126ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db9f6db11ba6ee648f13092af9901d2f7cfd11284c7dc2160e86eb18e82793d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-19T17:26:48Z",
    "title_canon_sha256": "b92733bec0a6505cad00afc70ef453f995786ae903922c67b55dcf8e56b5d85e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11838",
    "kind": "arxiv",
    "version": 1
  }
}