Pith Number

pith:MU24VEVO

pith:2016:MU24VEVOK5XQAH3CNGVO4AOJS5

not attested not anchored not stored refs pending

Symplectic Parabolicity and L^2 Symplectic Harmonic Forms

Hongyu Wang, Jiuru Zhou, Qiang Tan

arxiv:1602.08221 v3 · 2016-02-26 · 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{MU24VEVOK5XQAH3CNGVO4AOJS5}

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	2026-05-18T00:10:24.724605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6535ca92ae576f001f6269aaee01c997799bf801f4531aaff15d6f1e6ece8ec7

Aliases

arxiv: 1602.08221 · arxiv_version: 1602.08221v3 · doi: 10.48550/arxiv.1602.08221 · pith_short_12: MU24VEVOK5XQ · pith_short_16: MU24VEVOK5XQAH3C · pith_short_8: MU24VEVO

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/MU24VEVOK5XQAH3CNGVO4AOJS5 \
  | 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: 6535ca92ae576f001f6269aaee01c997799bf801f4531aaff15d6f1e6ece8ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17daa056a0e282aa76417ffa7cae1b9ac77fbe11d6c82c15cc2e025abcad7179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-02-26T07:25:51Z",
    "title_canon_sha256": "8de6a2f5e743026a4a603a0364b90c5bd11117840fbfdb899a72c245da641217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08221",
    "kind": "arxiv",
    "version": 3
  }
}