Pith Number

pith:A65TS3XA

pith:2017:A65TS3XA6AGTLW5NFKECXBX33J

not attested not anchored not stored refs pending

Bounded Depth Ascending HNN Extensions and $\pi_1$-Semistability at $\infty$

Michael Mihalik

arxiv:1709.09140 v1 · 2017-09-26 · 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{A65TS3XA6AGTLW5NFKECXBX33J}

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	2026-05-18T00:34:21.068097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bb396ee0f00d35dbad2a882b86fbda757b77854890dcc395f53991de7b45e6

Aliases

arxiv: 1709.09140 · arxiv_version: 1709.09140v1 · doi: 10.48550/arxiv.1709.09140 · pith_short_12: A65TS3XA6AGT · pith_short_16: A65TS3XA6AGTLW5N · pith_short_8: A65TS3XA

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/A65TS3XA6AGTLW5NFKECXBX33J \
  | 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: 07bb396ee0f00d35dbad2a882b86fbda757b77854890dcc395f53991de7b45e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30da27ad86e6c0300773364d7b2ab59a6ff559824aa53c704d8ef54731e1ff5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-26T17:24:06Z",
    "title_canon_sha256": "5874b4523ad7d7fe63991e15ce68b949cc3dff3f04b12827fc3621ae777ba08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09140",
    "kind": "arxiv",
    "version": 1
  }
}