Pith Number

pith:PDR46C2I

pith:2020:PDR46C2I6IBDOND7ZT56NAN3PD

not attested not anchored not stored refs pending

Energy decay rates of solutions to a viscoelastic wave equation with variable exponents and weak damping

Bin Guo, Menglan Liao, Xiangyu Zhu

arxiv:2011.11185 v1 · 2020-11-23 · 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{PDR46C2I6IBDOND7ZT56NAN3PD}

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	2026-07-05T01:53:40.362226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e3cf0b48f20237347fccfbe681bb78f634c55bbf277ea98e3e6665c18f3a5a

Aliases

arxiv: 2011.11185 · arxiv_version: 2011.11185v1 · doi: 10.48550/arxiv.2011.11185 · pith_short_12: PDR46C2I6IBD · pith_short_16: PDR46C2I6IBDOND7 · pith_short_8: PDR46C2I

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/PDR46C2I6IBDOND7ZT56NAN3PD \
  | 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: 78e3cf0b48f20237347fccfbe681bb78f634c55bbf277ea98e3e6665c18f3a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e983beeba2e687f9fd488c2b3dcd1e537d5b4c557a57a12cc5f46eb50ddc480b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-11-23T03:04:12Z",
    "title_canon_sha256": "711db0be308db43837972618e74c4306d57494b2db11d1f736779ca086db0a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.11185",
    "kind": "arxiv",
    "version": 1
  }
}