Pith Number

pith:VKL5KK6A

pith:2016:VKL5KK6A5GISM5FETT6CKD6JUI

not attested not anchored not stored refs pending

Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction

Christopher H. Cashen, David Hume, Dominik Gruber, Goulnara N. Arzhantseva

arxiv:1601.01897 v2 · 2016-01-08 · 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{VKL5KK6A5GISM5FETT6CKD6JUI}

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	2026-05-18T00:42:49.002004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa97d52bc0e9912674a49cfc250fc9a2197ba2d67d37ef873dd798f738585904

Aliases

arxiv: 1601.01897 · arxiv_version: 1601.01897v2 · doi: 10.48550/arxiv.1601.01897 · pith_short_12: VKL5KK6A5GIS · pith_short_16: VKL5KK6A5GISM5FE · pith_short_8: VKL5KK6A

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/VKL5KK6A5GISM5FETT6CKD6JUI \
  | 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: aa97d52bc0e9912674a49cfc250fc9a2197ba2d67d37ef873dd798f738585904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f6d57ced460c65216044a399228c7197d4ba501432379e8ded450cca22dad0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-01-08T15:09:27Z",
    "title_canon_sha256": "f36f37355dbb719852408b71175120c918226ef55152f48ee82051d3cc93dbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01897",
    "kind": "arxiv",
    "version": 2
  }
}