Pith Number

pith:UIRUMJKZ

pith:2013:UIRUMJKZCQACFMN52OLWHUZ7WI

not attested not anchored not stored refs pending

Constructing exact Lagrangian immersions with few double points

Emmy Murphy, Ivan Smith, Tobias Ekholm, Yakov Eliashberg

arxiv:1303.0588 v2 · 2013-03-04 · math.SG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIRUMJKZCQACFMN52OLWHUZ7WI}

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	2026-05-18T03:19:25.709062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a223462559140022b1bdd39763d33fb23aa91d5a182796eb097097fb24215089

Aliases

arxiv: 1303.0588 · arxiv_version: 1303.0588v2 · doi: 10.48550/arxiv.1303.0588 · pith_short_12: UIRUMJKZCQAC · pith_short_16: UIRUMJKZCQACFMN5 · pith_short_8: UIRUMJKZ

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/UIRUMJKZCQACFMN52OLWHUZ7WI \
  | 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: a223462559140022b1bdd39763d33fb23aa91d5a182796eb097097fb24215089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "268fec10e8e692dab67226da38b68c8cf8f8a3e19bb277aff886f282e747991f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-03-04T01:03:40Z",
    "title_canon_sha256": "463fb8e9e0b67f283d76672c0c7b604b0a8298e6226939599bf60b6c96bb6f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0588",
    "kind": "arxiv",
    "version": 2
  }
}