Pith Number

pith:ILI5GHXX

pith:2018:ILI5GHXXS4CZ2CFGZYTAHXWQPI

not attested not anchored not stored refs pending

Regular Languages for Contracting Geodesics

Abdul Zalloum, Joshua Eike

arxiv:1809.02692 v3 · 2018-09-07 · math.GR · 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{ILI5GHXXS4CZ2CFGZYTAHXWQPI}

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.

Cited by

1 paper in Pith

The local-to-global property for Morse quasi-geodesics

Receipt and verification

First computed	2026-07-05T04:07:01.880859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d1d31ef797059d08a6ce2603ded07a1d22c3991d659896cbd6f2cb7e824862

Aliases

arxiv: 1809.02692 · arxiv_version: 1809.02692v3 · doi: 10.48550/arxiv.1809.02692 · pith_short_12: ILI5GHXXS4CZ · pith_short_16: ILI5GHXXS4CZ2CFG · pith_short_8: ILI5GHXX

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/ILI5GHXXS4CZ2CFGZYTAHXWQPI \
  | 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: 42d1d31ef797059d08a6ce2603ded07a1d22c3991d659896cbd6f2cb7e824862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb260b9730d96b6b70be70255468763f76cb4bf3766d5e5a53418182a9200eaf",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-07T21:58:44Z",
    "title_canon_sha256": "b790215875472e0928cef5dbe0538bef3ffc6d129078711c04fe6612ad5dd183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02692",
    "kind": "arxiv",
    "version": 3
  }
}