Pith Number

pith:5DMJGJWH

pith:2015:5DMJGJWHHAEKDOY2FBUPVZGD5C

not attested not anchored not stored refs pending

Characterizations of the round two-dimensional sphere in terms of closed geodesics

Jordan Rainone, Lee Kennard

arxiv:1507.00414 v1 · 2015-07-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DMJGJWHHAEKDOY2FBUPVZGD5C}

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	2026-05-18T00:57:18.421448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d89326c73808a1bb1a2868fae4c3e89ec02a8a68e36d1a0ad46a54388d7a88

Aliases

arxiv: 1507.00414 · arxiv_version: 1507.00414v1 · doi: 10.48550/arxiv.1507.00414 · pith_short_12: 5DMJGJWHHAEK · pith_short_16: 5DMJGJWHHAEKDOY2 · pith_short_8: 5DMJGJWH

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/5DMJGJWHHAEKDOY2FBUPVZGD5C \
  | 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: e8d89326c73808a1bb1a2868fae4c3e89ec02a8a68e36d1a0ad46a54388d7a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37f61421f47dba80a0bf247aaf9b75617ecb9f12b44caf97a7d931acfeb5fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-02T02:43:18Z",
    "title_canon_sha256": "58ee05dc1a8cf03b4f9b401e1ec684582f048925cacd21868c51e744973d505c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00414",
    "kind": "arxiv",
    "version": 1
  }
}