Pith Number

pith:VPS42Z7V

pith:2017:VPS42Z7VGH3VVVE7N5XAYBBVDS

not attested not anchored not stored refs pending

On isolated singularities of Kirchhoff--type Laplacian problems

Binlin Zhang, Huyuan Chen, Mouhamed Moustapha Fall

arxiv:1708.03041 v1 · 2017-08-10 · 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{VPS42Z7VGH3VVVE7N5XAYBBVDS}

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	2026-05-18T00:38:15.113897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe5cd67f531f75ad49f6f6e0c04351c8210e56458e10aa687fb3c7fbf150758

Aliases

arxiv: 1708.03041 · arxiv_version: 1708.03041v1 · doi: 10.48550/arxiv.1708.03041 · pith_short_12: VPS42Z7VGH3V · pith_short_16: VPS42Z7VGH3VVVE7 · pith_short_8: VPS42Z7V

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/VPS42Z7VGH3VVVE7N5XAYBBVDS \
  | 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: abe5cd67f531f75ad49f6f6e0c04351c8210e56458e10aa687fb3c7fbf150758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c712f3068ec902b5bbe176cc8c6a82dbce8d8373077a22d191231b4114acb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-10T00:44:07Z",
    "title_canon_sha256": "ba2dec50f2db1b88a3af22f7e37fbd5319633194472d3fa03dcf7d6c6a9b4a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03041",
    "kind": "arxiv",
    "version": 1
  }
}