Pith Number

pith:Y3WVEXND

pith:2012:Y3WVEXNDXJXY2ZF4ISYTD5F3DI

not attested not anchored not stored refs pending

Characterization of large energy solutions of the equivariant wave map problem: I

Andrew Lawrie, Carlos Kenig, Raphael Cote, Wilhelm Schlag

arxiv:1209.3682 v3 · 2012-09-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3WVEXNDXJXY2ZF4ISYTD5F3DI}

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	2026-05-17T23:51:00.822784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ed525da3ba6f8d64bc44b131f4bb1a224df8280be79c0c63776b98dab6d570

Aliases

arxiv: 1209.3682 · arxiv_version: 1209.3682v3 · doi: 10.48550/arxiv.1209.3682 · pith_short_12: Y3WVEXNDXJXY · pith_short_16: Y3WVEXNDXJXY2ZF4 · pith_short_8: Y3WVEXND

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/Y3WVEXNDXJXY2ZF4ISYTD5F3DI \
  | 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: c6ed525da3ba6f8d64bc44b131f4bb1a224df8280be79c0c63776b98dab6d570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c46944424c1049991ae0e95533437536d47af33cd7f29aa86e6aae8d08fdd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-17T15:11:01Z",
    "title_canon_sha256": "05f8b9fdbea0364540aa7199e887e9c84b371c99ba2c7f0ba8656c7f53c2fd54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3682",
    "kind": "arxiv",
    "version": 3
  }
}