Pith Number

pith:RYIBTACT

pith:2010:RYIBTACTHDQRKIXUDHP3G66LJI

not attested not anchored not stored refs pending

Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel

Brent Everitt, John G. Ratcliffe, Steven T. Tschantz

arxiv:1009.3231 v1 · 2010-09-16 · 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{RYIBTACTHDQRKIXUDHP3G66LJI}

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	2026-05-18T03:39:53.334973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1019805338e11522f419dfb37bcb4a0ba5b4749aca52fda87bd63dc70c5c38

Aliases

arxiv: 1009.3231 · arxiv_version: 1009.3231v1 · doi: 10.48550/arxiv.1009.3231 · pith_short_12: RYIBTACTHDQR · pith_short_16: RYIBTACTHDQRKIXU · pith_short_8: RYIBTACT

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/RYIBTACTHDQRKIXUDHP3G66LJI \
  | 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: 8e1019805338e11522f419dfb37bcb4a0ba5b4749aca52fda87bd63dc70c5c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eff83382e09c8790e3b3b87e0ea1eef3321974bfc1087a64b7de387c210deb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-16T17:40:34Z",
    "title_canon_sha256": "1c34c9b1dd3cdceac4aa5408e35ee64ca6c920b4356898d74f1c4008745062fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3231",
    "kind": "arxiv",
    "version": 1
  }
}