Pith Number

pith:QXEVAAW3

pith:2017:QXEVAAW3VT3ZJURUTHHHCVXZLC

not attested not anchored not stored refs pending

On the Symmetry of Images of Word Maps in Groups

Meng-Che Ho, William Cocke

arxiv:1701.05947 v1 · 2017-01-20 · 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{QXEVAAW3VT3ZJURUTHHHCVXZLC}

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	2026-05-18T00:52:19.771139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c95002dbacf794d23499ce7156f958ad79c61df35f57242a67a44ba2033cdc

Aliases

arxiv: 1701.05947 · arxiv_version: 1701.05947v1 · doi: 10.48550/arxiv.1701.05947 · pith_short_12: QXEVAAW3VT3Z · pith_short_16: QXEVAAW3VT3ZJURU · pith_short_8: QXEVAAW3

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/QXEVAAW3VT3ZJURUTHHHCVXZLC \
  | 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: 85c95002dbacf794d23499ce7156f958ad79c61df35f57242a67a44ba2033cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508308d50c912b4dcd9df0c1c0da09631cf327ed168ee562bc65340d05136de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-01-20T23:24:15Z",
    "title_canon_sha256": "3b8103db9e5692861a7c2d3d5b52b993f47121e38fd5fce58d992d82f3b772f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05947",
    "kind": "arxiv",
    "version": 1
  }
}