Pith Number

pith:MJWPRN4X

pith:2016:MJWPRN4XVTD7FQCD6UVYBOHAM6

not attested not anchored not stored refs pending

On a critical Kirchhoff problem in high dimensions

Yisheng Huang, Yuanze Wu, Zeng Liu

arxiv:1605.06906 v1 · 2016-05-23 · 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{MJWPRN4XVTD7FQCD6UVYBOHAM6}

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	2026-05-18T01:14:10.904937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626cf8b797acc7f2c043f52b80b8e067878dee43bd6de85f687d2334d43036c7

Aliases

arxiv: 1605.06906 · arxiv_version: 1605.06906v1 · doi: 10.48550/arxiv.1605.06906 · pith_short_12: MJWPRN4XVTD7 · pith_short_16: MJWPRN4XVTD7FQCD · pith_short_8: MJWPRN4X

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/MJWPRN4XVTD7FQCD6UVYBOHAM6 \
  | 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: 626cf8b797acc7f2c043f52b80b8e067878dee43bd6de85f687d2334d43036c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1158306fee673bf0b1b25063f879fc0ab8f96646b1ffa83012641a5e7c91011b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-23T06:41:57Z",
    "title_canon_sha256": "d7dfe8a7c04182fced1a9b7a019bb256a6d094c07448b7c046b2449e28f48077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06906",
    "kind": "arxiv",
    "version": 1
  }
}