Pith Number

pith:L7CY5MNV

pith:2013:L7CY5MNVHOZA2PR2A5SWBQUNFG

not attested not anchored not stored refs pending

Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems

C. Garc\'ia-Azpeitia, J. Ize

arxiv:1303.6312 v1 · 2013-03-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7CY5MNVHOZA2PR2A5SWBQUNFG}

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	2026-05-18T03:29:49.781367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc58eb1b53bb20d3e3a076560c28d2984ed00d153abde5419f241e51f1a12a3

Aliases

arxiv: 1303.6312 · arxiv_version: 1303.6312v1 · doi: 10.48550/arxiv.1303.6312 · pith_short_12: L7CY5MNVHOZA · pith_short_16: L7CY5MNVHOZA2PR2 · pith_short_8: L7CY5MNV

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/L7CY5MNVHOZA2PR2A5SWBQUNFG \
  | 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: 5fc58eb1b53bb20d3e3a076560c28d2984ed00d153abde5419f241e51f1a12a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0753abc024a1c5c08e89e0ee2b6ccc02d8fa945bba67d0fe68a8f4a7d88aac01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-25T20:58:01Z",
    "title_canon_sha256": "55af326a4e044bf0638dce99517a0694d25dbc74ec8cad84ebf520b9de8ae3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6312",
    "kind": "arxiv",
    "version": 1
  }
}