Pith Number

pith:3AKLLBV2

pith:2013:3AKLLBV26OL3WFLQGH2LC2AF45

not attested not anchored not stored refs pending

On Quasihyperbolic Geodesics in Banach Spaces

Antti Rasila, Jarno Talponen

arxiv:1301.0900 v1 · 2013-01-05 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AKLLBV26OL3WFLQGH2LC2AF45}

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	2026-05-18T02:49:39.080942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d814b586baf397bb157031f4b16805e75b67125d6e664fbf1f1a946436d6ccd7

Aliases

arxiv: 1301.0900 · arxiv_version: 1301.0900v1 · doi: 10.48550/arxiv.1301.0900 · pith_short_12: 3AKLLBV26OL3 · pith_short_16: 3AKLLBV26OL3WFLQ · pith_short_8: 3AKLLBV2

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/3AKLLBV26OL3WFLQGH2LC2AF45 \
  | 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: d814b586baf397bb157031f4b16805e75b67125d6e664fbf1f1a946436d6ccd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303cb314466d889fa8107ac29cee8d0683708e9d41b9c6a78cd3a461ad3b4079",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-01-05T12:59:55Z",
    "title_canon_sha256": "e59d4c60b8867bd4a3d70fed7ae02eb7827c6be9ad3ecd6d622e06d776816945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0900",
    "kind": "arxiv",
    "version": 1
  }
}