Pith Number

pith:FBF65SCR

pith:2017:FBF65SCRS4D6GEZD35ERSQCQ2M

not attested not anchored not stored refs pending

Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups

Matthew C. B. Zaremsky

arxiv:1705.07470 v1 · 2017-05-21 · 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{FBF65SCRS4D6GEZD35ERSQCQ2M}

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	2026-05-17T23:45:00.172410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284beec8519707e31323df49194050d33d7656dbf27705a348994420b02567ac

Aliases

arxiv: 1705.07470 · arxiv_version: 1705.07470v1 · doi: 10.48550/arxiv.1705.07470 · pith_short_12: FBF65SCRS4D6 · pith_short_16: FBF65SCRS4D6GEZD · pith_short_8: FBF65SCR

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/FBF65SCRS4D6GEZD35ERSQCQ2M \
  | 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: 284beec8519707e31323df49194050d33d7656dbf27705a348994420b02567ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ce335826afd33be14cbd180b3018bd6f0ec9eb32f3f0d391a1bf460485e3b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-21T16:24:43Z",
    "title_canon_sha256": "8618ae0a4b890d3c99e00d13cf741aa3c0660c65ac151a3e83b6a8b2c7716256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07470",
    "kind": "arxiv",
    "version": 1
  }
}