Pith Number

pith:4334V3QP

pith:2017:4334V3QPY2IZD3LYCEHEKJOFX3

not attested not anchored not stored refs pending

Boundary classification and 2-ended splittings of groups with isolated flats

Matthew Haulmark

arxiv:1704.07937 v2 · 2017-04-26 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4334V3QPY2IZD3LYCEHEKJOFX3}

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	2026-05-18T00:12:19.657751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f7caee0fc69191ed78110e4525c5bef5f63347e7e2bbb143553233e4ec7549

Aliases

arxiv: 1704.07937 · arxiv_version: 1704.07937v2 · doi: 10.48550/arxiv.1704.07937 · pith_short_12: 4334V3QPY2IZ · pith_short_16: 4334V3QPY2IZD3LY · pith_short_8: 4334V3QP

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/4334V3QPY2IZD3LYCEHEKJOFX3 \
  | 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: e6f7caee0fc69191ed78110e4525c5bef5f63347e7e2bbb143553233e4ec7549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a949e19add63c03a0be5f8f7ff4aa8992fae85ce4a929f13ea01e83ae6b2f24",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-26T00:04:57Z",
    "title_canon_sha256": "2809df52b0a4608e539aa1b4a497577bc0b2c93e55df085355fdbdfcd7436750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07937",
    "kind": "arxiv",
    "version": 2
  }
}