Pith Number

pith:5DSGH55S

pith:2021:5DSGH55SNLDWJ2RMKV3WBEJVID

not attested not anchored not stored refs pending

Representation of measures of noncompactness and its applications related to an initial-value problem in Banach spaces

Lixin Cheng, Xiaoling Chen

arxiv:2103.07071 v1 · 2021-03-12 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DSGH55SNLDWJ2RMKV3WBEJVID}

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	2026-07-05T02:22:28.357199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e463f7b26ac764ea2c557760913540e8476c119f103141ccd64f0f3edd2b84

Aliases

arxiv: 2103.07071 · arxiv_version: 2103.07071v1 · doi: 10.48550/arxiv.2103.07071 · pith_short_12: 5DSGH55SNLDW · pith_short_16: 5DSGH55SNLDWJ2RM · pith_short_8: 5DSGH55S

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/5DSGH55SNLDWJ2RMKV3WBEJVID \
  | 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: e8e463f7b26ac764ea2c557760913540e8476c119f103141ccd64f0f3edd2b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42aec9639840e5f4cdc566d3d5f0ec1ed18dc8e4ec116ad6507480a824cfc280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-03-12T03:51:39Z",
    "title_canon_sha256": "151e71f45f306c69f38542045a272c7323478775bf39de594d4706a11ff11fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07071",
    "kind": "arxiv",
    "version": 1
  }
}