Pith Number

pith:FDCYIALQ

pith:2015:FDCYIALQADC3CYVCZG3YWPFCSI

not attested not anchored not stored refs pending

Ground state on the dumbbell graph

Dmitry E. Pelinovsky, Jeremy L. Marzuola

arxiv:1509.04721 v4 · 2015-09-15 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDCYIALQADC3CYVCZG3YWPFCSI}

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	2026-05-18T00:32:15.406713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c584017000c5b162a2c9b78b3ca29216090cf53af921c92509e106d80d8eb3

Aliases

arxiv: 1509.04721 · arxiv_version: 1509.04721v4 · doi: 10.48550/arxiv.1509.04721 · pith_short_12: FDCYIALQADC3 · pith_short_16: FDCYIALQADC3CYVC · pith_short_8: FDCYIALQ

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/FDCYIALQADC3CYVCZG3YWPFCSI \
  | 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: 28c584017000c5b162a2c9b78b3ca29216090cf53af921c92509e106d80d8eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a6c922f8489669ff2081af6e139b416815832669bf951aab1a9bacc5ab2942",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-15T20:08:39Z",
    "title_canon_sha256": "3635da38b0f565c35452b53e0efe3f2c6d2ed13e00392de83a4d2bffce0692a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04721",
    "kind": "arxiv",
    "version": 4
  }
}