Pith Number

pith:I5M4JTQ6

pith:2015:I5M4JTQ6Z3H5EBXXL7IIVOJV36

not attested not anchored not stored refs pending

A refined threshold theorem for (1+2)-dimensional wave maps into surfaces

Andrew Lawrie, Sung-Jin Oh

arxiv:1502.03435 v1 · 2015-02-11 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5M4JTQ6Z3H5EBXXL7IIVOJV36}

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	2026-05-18T01:22:41.216760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4759c4ce1ececfd206f75fd08ab935df8d1db715c2e81350c2787fef1a25ec03

Aliases

arxiv: 1502.03435 · arxiv_version: 1502.03435v1 · doi: 10.48550/arxiv.1502.03435 · pith_short_12: I5M4JTQ6Z3H5 · pith_short_16: I5M4JTQ6Z3H5EBXX · pith_short_8: I5M4JTQ6

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/I5M4JTQ6Z3H5EBXXL7IIVOJV36 \
  | 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: 4759c4ce1ececfd206f75fd08ab935df8d1db715c2e81350c2787fef1a25ec03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96f00c7174a5f121d6e5149726bf4b2ed5ea97b5c6284f552cca7621b40d8fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-11T20:51:48Z",
    "title_canon_sha256": "72beee0c45b8883f1ef2eeb326451e2e73433bed9408272e5381526c45d9b503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03435",
    "kind": "arxiv",
    "version": 1
  }
}