Pith Number

pith:JSLNMNWI

pith:2011:JSLNMNWIR6NA54X6HUZJSYENS7

not attested not anchored not stored refs pending

Multiple geodesics with the same direction

David Coupier

arxiv:1104.1321 v1 · 2011-04-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSLNMNWIR6NA54X6HUZJSYENS7}

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	2026-05-18T04:24:52.449828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c96d636c88f9a0ef2fe3d3299608d97d32ce9e129f27156f2d8599f09a3f456

Aliases

arxiv: 1104.1321 · arxiv_version: 1104.1321v1 · doi: 10.48550/arxiv.1104.1321 · pith_short_12: JSLNMNWIR6NA · pith_short_16: JSLNMNWIR6NA54X6 · pith_short_8: JSLNMNWI

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/JSLNMNWIR6NA54X6HUZJSYENS7 \
  | 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: 4c96d636c88f9a0ef2fe3d3299608d97d32ce9e129f27156f2d8599f09a3f456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe2857d14b959cfed8e0d80ac7a7b91adbb3a1069ea6663b812e1c5093fd171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-07T12:49:41Z",
    "title_canon_sha256": "fe6a14432efe10615c2660b1dc8be744e8c138313e593364a184358f6cd6c884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1321",
    "kind": "arxiv",
    "version": 1
  }
}