Pith Number

pith:STAL3U57

pith:2018:STAL3U574HVO42BLFDOZOABNVK

not attested not anchored not stored refs pending

Higher rank hyperbolicity

Bruce Kleiner, Urs Lang

arxiv:1810.12994 v2 · 2018-10-30 · math.MG · 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{STAL3U574HVO42BLFDOZOABNVK}

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	2026-05-17T23:55:30.731743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c0bdd3bfe1eaee682b28dd97002daaaddb958f71d8ff908af4a0ac49229b5a

Aliases

arxiv: 1810.12994 · arxiv_version: 1810.12994v2 · doi: 10.48550/arxiv.1810.12994 · pith_short_12: STAL3U574HVO · pith_short_16: STAL3U574HVO42BL · pith_short_8: STAL3U57

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/STAL3U574HVO42BLFDOZOABNVK \
  | 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: 94c0bdd3bfe1eaee682b28dd97002daaaddb958f71d8ff908af4a0ac49229b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d8a793ae33388252036b67250f0657f7663a97a39fa83b0ec2781d1031ce58",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-10-30T20:35:56Z",
    "title_canon_sha256": "9980f86edf7ed3c0c3660f66494add81857fa9d14b3c2b53de8750b9277193f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12994",
    "kind": "arxiv",
    "version": 2
  }
}