Pith Number

pith:SM45KX25

pith:2013:SM45KX25VJUODWV5QAOU7U7PNN

not attested not anchored not stored refs pending

Energy of a rotating Bose-Einstein condensate in a harmonic trap

Ayman Kachmar

arxiv:1306.3296 v2 · 2013-06-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SM45KX25VJUODWV5QAOU7U7PNN}

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	2026-05-18T02:44:06.946910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9339d55f5daa68e1dabd801d4fd3ef6b5dd60cdeac3a2aa3b328793ff9f072a0

Aliases

arxiv: 1306.3296 · arxiv_version: 1306.3296v2 · doi: 10.48550/arxiv.1306.3296 · pith_short_12: SM45KX25VJUO · pith_short_16: SM45KX25VJUODWV5 · pith_short_8: SM45KX25

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/SM45KX25VJUODWV5QAOU7U7PNN \
  | 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: 9339d55f5daa68e1dabd801d4fd3ef6b5dd60cdeac3a2aa3b328793ff9f072a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c81e1a9d08e4f140e3d53f5b5b959b82398413d30318aa9b13f077d560f478e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-14T05:27:06Z",
    "title_canon_sha256": "14362824d6ec1761e5c7f6cf61a10302950f7c2ad3f016f2ebad4cdd6c947cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3296",
    "kind": "arxiv",
    "version": 2
  }
}