Pith Number

pith:JWK7UPIP

pith:2024:JWK7UPIP6NIFBGJQPOW6QSEESL

not attested not anchored not stored refs pending

Embedding Partial HNN Extensions In Ascending HNN Extensions

Daniel T. Wise, Hip Kuen Chong

arxiv:2408.00453 v1 · 2024-08-01 · 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{JWK7UPIP6NIFBGJQPOW6QSEESL}

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

Some questions related to free-by-cyclic groups and tubular groups

Receipt and verification

First computed	2026-07-05T08:51:04.107988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d95fa3d0ff3505099307bade8488492f1e2322091fc5bf2a7c929ad3f04fa87

Aliases

arxiv: 2408.00453 · arxiv_version: 2408.00453v1 · doi: 10.48550/arxiv.2408.00453 · pith_short_12: JWK7UPIP6NIF · pith_short_16: JWK7UPIP6NIFBGJQ · pith_short_8: JWK7UPIP

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/JWK7UPIP6NIFBGJQPOW6QSEESL \
  | 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: 4d95fa3d0ff3505099307bade8488492f1e2322091fc5bf2a7c929ad3f04fa87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5fcf9f360068938cd2e835c7db09efd6294d1f09e81bf66855663b917416786",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-08-01T10:45:45Z",
    "title_canon_sha256": "e6184dbecc9f9ebb523652502afd9be04c02db0dec37a778b4af8f21d2cf6c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00453",
    "kind": "arxiv",
    "version": 1
  }
}