Pith Number

pith:NQ6LYAYZ

pith:2014:NQ6LYAYZHAOY5LKR7YXCFHHXXU

not attested not anchored not stored refs pending

Minimizing Closed Geodesics via Critical Points of the Uniform Energy

Ian Adelstein

arxiv:1406.0372 v2 · 2014-06-02 · 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{NQ6LYAYZHAOY5LKR7YXCFHHXXU}

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	2026-05-18T02:44:17.198156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3cbc0319381d8ead51fe2e229cf7bd34834cbf9ad016d22faabc5448379a30

Aliases

arxiv: 1406.0372 · arxiv_version: 1406.0372v2 · doi: 10.48550/arxiv.1406.0372 · pith_short_12: NQ6LYAYZHAOY · pith_short_16: NQ6LYAYZHAOY5LKR · pith_short_8: NQ6LYAYZ

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/NQ6LYAYZHAOY5LKR7YXCFHHXXU \
  | 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: 6c3cbc0319381d8ead51fe2e229cf7bd34834cbf9ad016d22faabc5448379a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb68da01f894d87c32b88fe5a911cc4204146db154ad416b5e3c6624086a713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-06-02T14:00:59Z",
    "title_canon_sha256": "f165cdd57b169e009e114dd23b2a5515be055a950fc54f541f801d9532d34790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0372",
    "kind": "arxiv",
    "version": 2
  }
}