Pith Number

pith:ATQLR3HM

pith:2012:ATQLR3HM4Z54D5LWWW6T2ETF3R

not attested not anchored not stored refs pending

Decay estimates for One-dimensional wave equations with inverse power potentials

M. Huang, O. Costin

arxiv:1208.3283 v3 · 2012-08-16 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATQLR3HM4Z54D5LWWW6T2ETF3R}

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	2026-05-18T02:39:32.388434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e0b8ecece67bc1f576b5bd3d1265dc519b6d5cbc0f5e0d28f1a5e3da9e108c

Aliases

arxiv: 1208.3283 · arxiv_version: 1208.3283v3 · doi: 10.48550/arxiv.1208.3283 · pith_short_12: ATQLR3HM4Z54 · pith_short_16: ATQLR3HM4Z54D5LW · pith_short_8: ATQLR3HM

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/ATQLR3HM4Z54D5LWWW6T2ETF3R \
  | 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: 04e0b8ecece67bc1f576b5bd3d1265dc519b6d5cbc0f5e0d28f1a5e3da9e108c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbba925a36e8bfdb84d8503cdf8622b14b8b7f6640105d79246ca13035bd6064",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-16T04:19:05Z",
    "title_canon_sha256": "16f568ccf10c02839baad749a269154364e6412032fba3c0566914750237f07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3283",
    "kind": "arxiv",
    "version": 3
  }
}