Pith Number

pith:BYZDPKOG

pith:2013:BYZDPKOGL3AF7W75AB4JHXSPA2

not attested not anchored not stored refs pending

On the Cauchy Problem for Energy Critical Self-Gravitating Wave Maps

Nishanth Gudapati

arxiv:1311.4495 v1 · 2013-11-18 · 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{BYZDPKOGL3AF7W75AB4JHXSPA2}

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.

Cited by

1 paper in Pith

On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes

Receipt and verification

First computed	2026-05-18T03:06:52.515701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3237a9c65ec05fdbfd007893de4f0695379400460e584d5c5836b8dc4cc989

Aliases

arxiv: 1311.4495 · arxiv_version: 1311.4495v1 · doi: 10.48550/arxiv.1311.4495 · pith_short_12: BYZDPKOGL3AF · pith_short_16: BYZDPKOGL3AF7W75 · pith_short_8: BYZDPKOG

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/BYZDPKOGL3AF7W75AB4JHXSPA2 \
  | 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: 0e3237a9c65ec05fdbfd007893de4f0695379400460e584d5c5836b8dc4cc989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb9ee6339e7eff5e5837a7babefff5a597584c26e2957365e0bf25c43935230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-18T19:09:25Z",
    "title_canon_sha256": "2b6045d4efeb03c5ad0832cd8d5c0aa34ded7e1abde9a2266fe1cb5425bd48d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4495",
    "kind": "arxiv",
    "version": 1
  }
}