Pith Number

pith:GGXGAYWW

pith:2017:GGXGAYWWRDTUA3FD5LPRVOXARC

not attested not anchored not stored refs pending

Long geodesics on convex surfaces

Anton Petrunin, Arseniy Akopyan

arxiv:1702.05172 v2 · 2017-02-16 · math.DG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGXGAYWWRDTUA3FD5LPRVOXARC}

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	2026-05-18T00:04:37.678774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ae6062d688e7406ca3eadf1abae0888b40301844086a3670e8561ed35710ce

Aliases

arxiv: 1702.05172 · arxiv_version: 1702.05172v2 · doi: 10.48550/arxiv.1702.05172 · pith_short_12: GGXGAYWWRDTU · pith_short_16: GGXGAYWWRDTUA3FD · pith_short_8: GGXGAYWW

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/GGXGAYWWRDTUA3FD5LPRVOXARC \
  | 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: 31ae6062d688e7406ca3eadf1abae0888b40301844086a3670e8561ed35710ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bbe0d972ed0fccacf692ccdf2e7940e9880d45d982a66b02692910066d04dc8",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-16T22:06:08Z",
    "title_canon_sha256": "abd5b69d21f5f4ca6dfd70ae3391e939305294b5097fab9b475464bc7eb88375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05172",
    "kind": "arxiv",
    "version": 2
  }
}