Pith Number

pith:THORG5HU

pith:2017:THORG5HUM3U5YKYOIZPJP4A3YG

not attested not anchored not stored refs pending

Existence and Uniqueness of Normalized Solutions for the Kirchhoff equation

Xiaoyu Zeng, Yimin Zhang

arxiv:1703.09909 v1 · 2017-03-29 · 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{THORG5HUM3U5YKYOIZPJP4A3YG}

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	2026-05-18T00:47:39.054583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99dd1374f466e9dc2b0e465e97f01bc1ab56107f2cef6173a96428f68e8a23c5

Aliases

arxiv: 1703.09909 · arxiv_version: 1703.09909v1 · doi: 10.48550/arxiv.1703.09909 · pith_short_12: THORG5HUM3U5 · pith_short_16: THORG5HUM3U5YKYO · pith_short_8: THORG5HU

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/THORG5HUM3U5YKYOIZPJP4A3YG \
  | 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: 99dd1374f466e9dc2b0e465e97f01bc1ab56107f2cef6173a96428f68e8a23c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a53acb097a9ec85b46e6d242c315e8aeceb8d1512fe52db74a7a6fc8f4f7f86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-29T07:05:11Z",
    "title_canon_sha256": "7b027a4a3192a239017d4c7ee097379350ed491d0ae5e437ab85c2a60dfaa132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09909",
    "kind": "arxiv",
    "version": 1
  }
}