Pith Number

pith:5CY65MRC

pith:2013:5CY65MRCDHJIHDEFSUMSXSZ2B2

not attested not anchored not stored refs pending

On the existence of three closed magnetic geodesics for subcritical energies

Alberto Abbondandolo, Gabriel P. Paternain, Leonardo Macarini

arxiv:1305.1871 v1 · 2013-05-08 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CY65MRCDHJIHDEFSUMSXSZ2B2}

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	2026-05-18T01:46:14.373120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b1eeb22219d2838c8595192bcb3a0e954a74e32543b2167c8f629af6ad198b

Aliases

arxiv: 1305.1871 · arxiv_version: 1305.1871v1 · doi: 10.48550/arxiv.1305.1871 · pith_short_12: 5CY65MRCDHJI · pith_short_16: 5CY65MRCDHJIHDEF · pith_short_8: 5CY65MRC

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/5CY65MRCDHJIHDEFSUMSXSZ2B2 \
  | 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: e8b1eeb22219d2838c8595192bcb3a0e954a74e32543b2167c8f629af6ad198b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9d8912559ff5b84b66553d1ba7a91a1c7aa1c57e4a133440b9f29e76eba890",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-08T16:24:43Z",
    "title_canon_sha256": "4d660bb4cc195fe1b650dbd8b2363193a8c8ee96eedfc91f9e5034251aa7a493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1871",
    "kind": "arxiv",
    "version": 1
  }
}