Pith Number

pith:V5KIGX75

pith:2021:V5KIGX75N4F3BATJC2QCZAXTF6

not attested not anchored not stored refs pending

Application of Grey System Theory in Approximate Calculation of Wave Packet Evolution

Dehong Gao, Jiayu Ni, Linfeng Ye, Xiangdong Feng

arxiv:2104.04750 v1 · 2021-04-10 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5KIGX75N4F3BATJC2QCZAXTF6}

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	2026-07-05T02:30:47.301816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af54835ffd6f0bb0826916a02c82f32f8f6fa33b8dc2152b753e5198afa8ca4d

Aliases

arxiv: 2104.04750 · arxiv_version: 2104.04750v1 · doi: 10.48550/arxiv.2104.04750 · pith_short_12: V5KIGX75N4F3 · pith_short_16: V5KIGX75N4F3BATJ · pith_short_8: V5KIGX75

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/V5KIGX75N4F3BATJC2QCZAXTF6 \
  | 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: af54835ffd6f0bb0826916a02c82f32f8f6fa33b8dc2152b753e5198afa8ca4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b5ac988e13def5697ce0bd32ee2076c65edf0f6080ed846ff8a10ea2727908",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-04-10T12:22:41Z",
    "title_canon_sha256": "c32fd4a74b341b9ec1dad1566de0956330be8a3790cb379f07c716118d44fce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.04750",
    "kind": "arxiv",
    "version": 1
  }
}