Pith Number

pith:O4FQ2VAN

pith:2026:O4FQ2VAN7ZYJXBQ5GAHTOW3UCA

not attested not anchored not stored refs pending

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs

Haohang Zhang, Yang Liu, Yong Lin

arxiv:2606.08490 v1 · 2026-06-07 · math.AP · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4FQ2VAN7ZYJXBQ5GAHTOW3UCA}

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	2026-06-09T01:05:38.116110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770b0d540dfe709b861d300f375b74100c1777e156f4b52413785cd1ff0568ec

Aliases

arxiv: 2606.08490 · arxiv_version: 2606.08490v1 · doi: 10.48550/arxiv.2606.08490 · pith_short_12: O4FQ2VAN7ZYJ · pith_short_16: O4FQ2VAN7ZYJXBQ5 · pith_short_8: O4FQ2VAN

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/O4FQ2VAN7ZYJXBQ5GAHTOW3UCA \
  | 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: 770b0d540dfe709b861d300f375b74100c1777e156f4b52413785cd1ff0568ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7a0d0020314f854bdd0274f149a4ebda85a133fc5f17998912f8c8fbb7a831",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-07T07:23:05Z",
    "title_canon_sha256": "4e8c5edb7d6cf6812708cc183d3b834f057f85831bca930b2cfdfb12fd69e1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08490",
    "kind": "arxiv",
    "version": 1
  }
}