Pith Number

pith:Z3FP4I65

pith:2016:Z3FP4I65KBNXMT435PQEFOVPLE

not attested not anchored not stored refs pending

Threshold for blowup for equivariant wave maps in higher dimensions

Maciej Maliborski, Pawe{\l} Biernat, Piotr Bizo\'n

arxiv:1608.07707 v1 · 2016-08-27 · 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{Z3FP4I65KBNXMT435PQEFOVPLE}

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	2026-05-18T00:47:13.203643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecafe23dd505b764f9bebe042baaf591c1f55f0d6c83d2a79482cc27d530a6d

Aliases

arxiv: 1608.07707 · arxiv_version: 1608.07707v1 · doi: 10.48550/arxiv.1608.07707 · pith_short_12: Z3FP4I65KBNX · pith_short_16: Z3FP4I65KBNXMT43 · pith_short_8: Z3FP4I65

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/Z3FP4I65KBNXMT435PQEFOVPLE \
  | 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: cecafe23dd505b764f9bebe042baaf591c1f55f0d6c83d2a79482cc27d530a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9333eb9966e3e8aec3d32743f7fa5d3ed981b2dd630b3c2743568cf28b5fbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-27T13:21:26Z",
    "title_canon_sha256": "90f6b3ee5288ee8735ff8fa8f9a39756df6f5ed977c0d36ffb53608b1b057146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07707",
    "kind": "arxiv",
    "version": 1
  }
}