Pith Number

pith:53FZUOOU

pith:2019:53FZUOOUUV7UF5BKWVLSGZFQNN

not attested not anchored not stored refs pending

Piecewise Visual, Linearly Connected Metrics on Boundaries of Relatively Hyperbolic Groups

Matthew Haulmark, Michael L. Mihalik

arxiv:1908.07603 v1 · 2019-08-20 · 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{53FZUOOUUV7UF5BKWVLSGZFQNN}

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	2026-07-04T23:58:59.589263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eecb9a39d4a57f42f42ab5572364b06b48e4c905ca5f76da25b299a70901cefb

Aliases

arxiv: 1908.07603 · arxiv_version: 1908.07603v1 · doi: 10.48550/arxiv.1908.07603 · pith_short_12: 53FZUOOUUV7U · pith_short_16: 53FZUOOUUV7UF5BK · pith_short_8: 53FZUOOU

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/53FZUOOUUV7UF5BKWVLSGZFQNN \
  | 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: eecb9a39d4a57f42f42ab5572364b06b48e4c905ca5f76da25b299a70901cefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65cb785bb65e8e8f50e5472a858e57162fc5c32d021dec4fecbd2195f550c36e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-20T20:45:17Z",
    "title_canon_sha256": "eee05862224ab4ae583871a86211924121c8d47244d41301ffc95e833acc74e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07603",
    "kind": "arxiv",
    "version": 1
  }
}