Pith Number

pith:7E6HS6ZD

pith:2013:7E6HS6ZDRXFPQ226ZCDYGLU7JV

not attested not anchored not stored refs pending

Clifford-Klein forms and a-hyperbolic rank

Aleksy Tralle, Maciej Bochenski

arxiv:1311.6254 v2 · 2013-11-25 · 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{7E6HS6ZDRXFPQ226ZCDYGLU7JV}

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	2026-05-18T01:35:01.201564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93c797b238dcaf86b5ec887832e9f4d570d9c4de18b81d17d603cb089e2e77f

Aliases

arxiv: 1311.6254 · arxiv_version: 1311.6254v2 · doi: 10.48550/arxiv.1311.6254 · pith_short_12: 7E6HS6ZDRXFP · pith_short_16: 7E6HS6ZDRXFPQ226 · pith_short_8: 7E6HS6ZD

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/7E6HS6ZDRXFPQ226ZCDYGLU7JV \
  | 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: f93c797b238dcaf86b5ec887832e9f4d570d9c4de18b81d17d603cb089e2e77f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ee420e38e0c6dad88aac1d0241ed1605ac4c840201aa3d3a8b154b2777f182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-25T10:40:26Z",
    "title_canon_sha256": "b13fa9caedddd714e6a0eb6436ca16a2498a8e6cb8d9f449006e558e03ba473b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6254",
    "kind": "arxiv",
    "version": 2
  }
}