Pith Number

pith:DACMYU45

pith:2013:DACMYU45RWXPNOOYSMQWJ3YZVV

not attested not anchored not stored refs pending

Complex hyperbolic free groups with many parabolic elements

John R. Parker, Pierre Will (IF)

arxiv:1312.3795 v1 · 2013-12-13 · 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{DACMYU45RWXPNOOYSMQWJ3YZVV}

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	2026-05-18T03:04:47.607237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1804cc539d8daef6b9d8932164ef19ad6f9eae5b68f7194a9840a072e3c079b6

Aliases

arxiv: 1312.3795 · arxiv_version: 1312.3795v1 · doi: 10.48550/arxiv.1312.3795 · pith_short_12: DACMYU45RWXP · pith_short_16: DACMYU45RWXPNOOY · pith_short_8: DACMYU45

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/DACMYU45RWXPNOOYSMQWJ3YZVV \
  | 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: 1804cc539d8daef6b9d8932164ef19ad6f9eae5b68f7194a9840a072e3c079b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae8c0cdd9895982c8fa6f711a68a142e5568ffb08e95270a7694c5f878ecd2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-13T12:39:54Z",
    "title_canon_sha256": "4cfb56e98e5403018923124ee9137b5754da296379cb3887495f6f2a5eb213f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3795",
    "kind": "arxiv",
    "version": 1
  }
}