Pith Number

pith:3SBKULH3

pith:2017:3SBKULH3KX4TNO2FQDGG7ZSGVB

not attested not anchored not stored refs pending

On flat submaps of maps of non-positive curvature

A.Yu. Olshanskii, M.V. Sapir

arxiv:1702.08205 v1 · 2017-02-27 · 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{3SBKULH3KX4TNO2FQDGG7ZSGVB}

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	2026-05-18T00:49:55.627900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc82aa2cfb55f936bb4580cc6fe646a84030bb1a216333e90b22c612dfc66181

Aliases

arxiv: 1702.08205 · arxiv_version: 1702.08205v1 · doi: 10.48550/arxiv.1702.08205 · pith_short_12: 3SBKULH3KX4T · pith_short_16: 3SBKULH3KX4TNO2F · pith_short_8: 3SBKULH3

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/3SBKULH3KX4TNO2FQDGG7ZSGVB \
  | 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: dc82aa2cfb55f936bb4580cc6fe646a84030bb1a216333e90b22c612dfc66181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54c07c8c6739b696fc534e82b97e6a1655040adcdfec90c4ec2f2a602c24b2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-27T09:41:24Z",
    "title_canon_sha256": "5bf6cdc8a63c58845c12f8ac07077f2f98043ebea31de8bd0c83c893c115bae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08205",
    "kind": "arxiv",
    "version": 1
  }
}