Pith Number

pith:5M5MY6JK

pith:2011:5M5MY6JKOJ46CM2HOYQUF635DW

not attested not anchored not stored refs pending

Global nonexistence of solutions for the viscoelastic wave equation of Kirchhoff type with high energy

Gang Li, Linghui Hong, Wenjun Liu

arxiv:1109.5916 v1 · 2011-09-27 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5M5MY6JKOJ46CM2HOYQUF635DW}

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	2026-05-18T03:56:22.483869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3acc792a7279e13347762142fb7d1d983504a7f89e7f4ff54f374e38b0049f

Aliases

arxiv: 1109.5916 · arxiv_version: 1109.5916v1 · doi: 10.48550/arxiv.1109.5916 · pith_short_12: 5M5MY6JKOJ46 · pith_short_16: 5M5MY6JKOJ46CM2H · pith_short_8: 5M5MY6JK

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/5M5MY6JKOJ46CM2HOYQUF635DW \
  | 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: eb3acc792a7279e13347762142fb7d1d983504a7f89e7f4ff54f374e38b0049f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469f5b4aaf468a9fa003b70fdce3e6d2233698ebc81ed1ad733f09b7e41a62a4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-27T14:49:34Z",
    "title_canon_sha256": "e466e9847fe656f658429d4d02753e5059d8d343ad0dd55c09e067a3a966760d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5916",
    "kind": "arxiv",
    "version": 1
  }
}