Pith Number

pith:HQYZ4TAP

pith:2018:HQYZ4TAPP2EUF6NZXNU7YWYX6K

not attested not anchored not stored refs pending

Noncontractible loops of symplectic embeddings between convex toric domains

Mihai Munteanu

arxiv:1809.04147 v1 · 2018-09-11 · 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{HQYZ4TAPP2EUF6NZXNU7YWYX6K}

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	2026-05-18T00:05:55.354748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c319e4c0f7e8942f9b9bb69fc5b17f2946a5e4a3c8b73668e7864123434c58a

Aliases

arxiv: 1809.04147 · arxiv_version: 1809.04147v1 · doi: 10.48550/arxiv.1809.04147 · pith_short_12: HQYZ4TAPP2EU · pith_short_16: HQYZ4TAPP2EUF6NZ · pith_short_8: HQYZ4TAP

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/HQYZ4TAPP2EUF6NZXNU7YWYX6K \
  | 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: 3c319e4c0f7e8942f9b9bb69fc5b17f2946a5e4a3c8b73668e7864123434c58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649f43de094b19d3101695543234baa4e8858c96a9f3e414877f27431e2ce649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-09-11T20:37:17Z",
    "title_canon_sha256": "34bd772a6e2fc5bbf1db2ccda002a4ebb0e5248fda03a364acc643fe95ab7185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04147",
    "kind": "arxiv",
    "version": 1
  }
}