Pith Number

pith:GSBH5YLZ

pith:2019:GSBH5YLZQAIA3Q7JAYNGPP7VTV

not attested not anchored not stored refs pending

On Expansive Maps of Topological Spaces

Ali Barzanouni, Ekta Shah

arxiv:1902.03798 v2 · 2019-02-11 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSBH5YLZQAIA3Q7JAYNGPP7VTV}

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	2026-05-17T23:50:33.313633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34827ee17980100dc3e9061a67bff59d67c2add9bf3e3e281e3beb623d08f4f8

Aliases

arxiv: 1902.03798 · arxiv_version: 1902.03798v2 · doi: 10.48550/arxiv.1902.03798 · pith_short_12: GSBH5YLZQAIA · pith_short_16: GSBH5YLZQAIA3Q7J · pith_short_8: GSBH5YLZ

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/GSBH5YLZQAIA3Q7JAYNGPP7VTV \
  | 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: 34827ee17980100dc3e9061a67bff59d67c2add9bf3e3e281e3beb623d08f4f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f4adb99d3a8a99aab0ed2c488ba016f5ed1ca4a8689fbc017b2d04b6abb1e1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-11T10:07:40Z",
    "title_canon_sha256": "e3a74f565c3fdfdcf8a83e313290eaef5d75be50301adba4d8b9219088a461ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03798",
    "kind": "arxiv",
    "version": 2
  }
}