Pith Number

pith:FHPYGYCN

pith:2015:FHPYGYCNWNJ5DJTUH73NHZ2MWW

not attested not anchored not stored refs pending

Poincar\'e polynomials for Abelian symplectic quotients of pure $r$-qubits via wall-crossings

Hishamuddin Zainuddin, Saeid Molladavoudi

arxiv:1506.05516 v1 · 2015-06-17 · 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{FHPYGYCNWNJ5DJTUH73NHZ2MWW}

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	2026-05-18T01:44:10.602264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29df83604db353d1a6743ff6d3e74cb591fa1deb1dfc5c19c38c488e19b37f0a

Aliases

arxiv: 1506.05516 · arxiv_version: 1506.05516v1 · doi: 10.48550/arxiv.1506.05516 · pith_short_12: FHPYGYCNWNJ5 · pith_short_16: FHPYGYCNWNJ5DJTU · pith_short_8: FHPYGYCN

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/FHPYGYCNWNJ5DJTUH73NHZ2MWW \
  | 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: 29df83604db353d1a6743ff6d3e74cb591fa1deb1dfc5c19c38c488e19b37f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501e63ae266cde6ee123afb047cc4b36ba2a07664741ad7330b74d0c0bd14954",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-17T23:21:31Z",
    "title_canon_sha256": "220e69f1de75bb4fd7ea6956f1b63c6c4aef677840b209f6565ee8dbd638797c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05516",
    "kind": "arxiv",
    "version": 1
  }
}