Pith Number

pith:HKYJPAS5

pith:2015:HKYJPAS5D5QHKX4MLOLP2AGB2S

not attested not anchored not stored refs pending

Finite groups acting symplectically on $T^2\times S^2$

Ignasi Mundet i Riera

arxiv:1502.02420 v3 · 2015-02-09 · 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{HKYJPAS5D5QHKX4MLOLP2AGB2S}

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	2026-05-18T01:14:36.134876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab097825d1f60755f8c5b96fd00c1d49592ca1e4e4dfa4a2d6f33f3d7adc32e

Aliases

arxiv: 1502.02420 · arxiv_version: 1502.02420v3 · doi: 10.48550/arxiv.1502.02420 · pith_short_12: HKYJPAS5D5QH · pith_short_16: HKYJPAS5D5QHKX4M · pith_short_8: HKYJPAS5

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/HKYJPAS5D5QHKX4MLOLP2AGB2S \
  | 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: 3ab097825d1f60755f8c5b96fd00c1d49592ca1e4e4dfa4a2d6f33f3d7adc32e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d2c6211ed4c7230bffc7bc1bf7f213958af8504036e30bcdca33f0a2070c9ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-09T10:31:17Z",
    "title_canon_sha256": "95e6012e1a212b7e9f49f1a9298295dab79e33bfc5de60231be5f17e59d7d2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02420",
    "kind": "arxiv",
    "version": 3
  }
}