Pith Number

pith:PF32LQO4

pith:2015:PF32LQO42Z4CWOECYNUDFPMYU5

not attested not anchored not stored refs pending

The topology of local commensurability graphs

Daniel Studenmund, Khalid Bou-Rabee

arxiv:1508.06335 v1 · 2015-08-26 · 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{PF32LQO42Z4CWOECYNUDFPMYU5}

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	2026-05-18T01:34:43.278809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7977a5c1dcd6782b3882c36832bd98a761421993932ff48b358a0a3e88eeea7b

Aliases

arxiv: 1508.06335 · arxiv_version: 1508.06335v1 · doi: 10.48550/arxiv.1508.06335 · pith_short_12: PF32LQO42Z4C · pith_short_16: PF32LQO42Z4CWOEC · pith_short_8: PF32LQO4

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/PF32LQO42Z4CWOECYNUDFPMYU5 \
  | 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: 7977a5c1dcd6782b3882c36832bd98a761421993932ff48b358a0a3e88eeea7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8db3fb03979502f545a0c5cf8e9fbf79e164e7d2625263e943504d3f59772eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-26T00:17:27Z",
    "title_canon_sha256": "bf5ac8058e733f499c46fd5d26aec02d135c4efae60dd166879df7c362784e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06335",
    "kind": "arxiv",
    "version": 1
  }
}