Pith Number

pith:MRRZAL25

pith:2010:MRRZAL25MMCZMITTN5XE2MWVKK

not attested not anchored not stored refs pending

Combined Influence of Off-diagonal System Tensors and Potential Valley Returning of the Optimal Path

Chun-Yang Wang

arxiv:1009.0835 v1 · 2010-09-04 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRRZAL25MMCZMITTN5XE2MWVKK}

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	2026-05-18T02:05:36.857538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6463902f5d63059622736f6e4d32d5528c0cf133f524f3951e46148c420ca84b

Aliases

arxiv: 1009.0835 · arxiv_version: 1009.0835v1 · doi: 10.48550/arxiv.1009.0835 · pith_short_12: MRRZAL25MMCZ · pith_short_16: MRRZAL25MMCZMITT · pith_short_8: MRRZAL25

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/MRRZAL25MMCZMITTN5XE2MWVKK \
  | 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: 6463902f5d63059622736f6e4d32d5528c0cf133f524f3951e46148c420ca84b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24adb8e987d261d14aa9b9e6c86cae9a44b72d6d9964ebc14ce41e1910ae0346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2010-09-04T13:25:44Z",
    "title_canon_sha256": "b60eef17153e60a85825b4d7607e398b9ef38d1575a0f7c239906220f7ba2df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0835",
    "kind": "arxiv",
    "version": 1
  }
}