Pith Number

pith:LIZEP4PV

pith:2011:LIZEP4PVKSPWHUQEXSDNJESFHD

not attested not anchored not stored refs pending

The Cauchy Problem for Wave Maps on a Curved Background

Andrew Lawrie

arxiv:1104.3794 v2 · 2011-04-19 · 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{LIZEP4PVKSPWHUQEXSDNJESFHD}

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	2026-05-18T03:43:52.920869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3247f1f5549f63d204bc86d4924538c98bedcf6ce968576e09ae1100e48c2e

Aliases

arxiv: 1104.3794 · arxiv_version: 1104.3794v2 · doi: 10.48550/arxiv.1104.3794 · pith_short_12: LIZEP4PVKSPW · pith_short_16: LIZEP4PVKSPWHUQE · pith_short_8: LIZEP4PV

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/LIZEP4PVKSPWHUQEXSDNJESFHD \
  | 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: 5a3247f1f5549f63d204bc86d4924538c98bedcf6ce968576e09ae1100e48c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad24ca57bbd178e5fea561c328dc951058769d6cdbc51e9a8f3c5e184ed15262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-19T16:28:45Z",
    "title_canon_sha256": "06ffe9d6ca018d6e312ff2a82308e48d84b92b299c4a5517c1a52b0f9040dd40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3794",
    "kind": "arxiv",
    "version": 2
  }
}