Pith Number

pith:XSQTDUYK

pith:2013:XSQTDUYKHA6BBZBEOKGEVMFRYU

not attested not anchored not stored refs pending

Closed geodesics and bounded gaps

Anton Deitmar

arxiv:1306.5525 v3 · 2013-06-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSQTDUYKHA6BBZBEOKGEVMFRYU}

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	2026-05-18T00:27:50.486541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca131d30a383c10e424728c4ab0b1c53b1a24de7dccba81730a43d1f482a059

Aliases

arxiv: 1306.5525 · arxiv_version: 1306.5525v3 · doi: 10.48550/arxiv.1306.5525 · pith_short_12: XSQTDUYKHA6B · pith_short_16: XSQTDUYKHA6BBZBE · pith_short_8: XSQTDUYK

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/XSQTDUYKHA6BBZBEOKGEVMFRYU \
  | 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: bca131d30a383c10e424728c4ab0b1c53b1a24de7dccba81730a43d1f482a059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "433063c94e346acd47e0a41e76ea3a433b33b6e21462ce36dd27d2e9a8a53a62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-24T07:30:51Z",
    "title_canon_sha256": "0780175a6e7d1280c9940d10e2d15ffde29c6d63228ef94f89a98c19331034aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5525",
    "kind": "arxiv",
    "version": 3
  }
}