Pith Number

pith:332LLPCL

pith:2013:332LLPCLF4JNP4EQZZMEF2LQAA

not attested not anchored not stored refs pending

Symplectic embeddings of polydisks

Richard Hind, Samuel Lisi

arxiv:1304.3065 v1 · 2013-04-10 · 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{332LLPCLF4JNP4EQZZMEF2LQAA}

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	2026-05-18T03:28:19.979435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def4b5bc4b2f12d7f090ce5842e970002583851d76e660f5c4a531a5f88d14f4

Aliases

arxiv: 1304.3065 · arxiv_version: 1304.3065v1 · doi: 10.48550/arxiv.1304.3065 · pith_short_12: 332LLPCLF4JN · pith_short_16: 332LLPCLF4JNP4EQ · pith_short_8: 332LLPCL

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/332LLPCLF4JNP4EQZZMEF2LQAA \
  | 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: def4b5bc4b2f12d7f090ce5842e970002583851d76e660f5c4a531a5f88d14f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5307e8779f4bf4dfa4fdf9e12419e18729b335194d4ec2bc6f13ac2ecd88d33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-04-10T19:47:43Z",
    "title_canon_sha256": "0310c2d370bc2e0d6eff635660b371f0029b9899395567d4ef85accb8094840d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3065",
    "kind": "arxiv",
    "version": 1
  }
}