Pith Number

pith:XVMLQG3S

pith:2016:XVMLQG3SWVIIMGXWVOJ2R6NIGH

not attested not anchored not stored refs pending

Normalising graphs of groups

Christian Krattenthaler (Universit\"at Wien), Thomas W. M\"uller (Queen Mary, University of London), Westfield College

arxiv:1608.03538 v1 · 2016-08-11 · 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{XVMLQG3SWVIIMGXWVOJ2R6NIGH}

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	2026-05-18T00:24:31.758118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd58b81b72b550861af6ab93a8f9a831f2b8f88c0a6cd63a064bfbeb6c44abb5

Aliases

arxiv: 1608.03538 · arxiv_version: 1608.03538v1 · doi: 10.48550/arxiv.1608.03538 · pith_short_12: XVMLQG3SWVII · pith_short_16: XVMLQG3SWVIIMGXW · pith_short_8: XVMLQG3S

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/XVMLQG3SWVIIMGXWVOJ2R6NIGH \
  | 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: bd58b81b72b550861af6ab93a8f9a831f2b8f88c0a6cd63a064bfbeb6c44abb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6182ce2162a809beab75bb54fe1b7edbadadebb03f76742a2074a93832c335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-11T17:07:16Z",
    "title_canon_sha256": "d1129ca1ebd57101f47a5ba9cf79d45e7831ae3fdc9451efe69cbdaef472ee0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03538",
    "kind": "arxiv",
    "version": 1
  }
}