Pith Number

pith:YRLIGFWK

pith:2012:YRLIGFWKXU3TFECZ7XTUIMWZTF

not attested not anchored not stored refs pending

Critical exponent for the semilinear wave equation with scale invariant damping

Yuta Wakasugi

arxiv:1211.2900 v1 · 2012-11-13 · 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{YRLIGFWKXU3TFECZ7XTUIMWZTF}

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	2026-05-18T01:35:01.282818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4568316cabd37329059fde74432d9997e99129280217d74da09f34997bcd106

Aliases

arxiv: 1211.2900 · arxiv_version: 1211.2900v1 · doi: 10.48550/arxiv.1211.2900 · pith_short_12: YRLIGFWKXU3T · pith_short_16: YRLIGFWKXU3TFECZ · pith_short_8: YRLIGFWK

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/YRLIGFWKXU3TFECZ7XTUIMWZTF \
  | 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: c4568316cabd37329059fde74432d9997e99129280217d74da09f34997bcd106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f933f430b2996cd11d8f689827dd891bb658b7febfe4430c455e7d5aca4ddf38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-13T06:54:02Z",
    "title_canon_sha256": "2a1e86f0b07cba8fec1136a5fae9c9545947528d9b6eba5df52ed21ada37a742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2900",
    "kind": "arxiv",
    "version": 1
  }
}