Pith Number

pith:MMBT5DEC

pith:2014:MMBT5DECQFDFY5QBR5ZXFNAKDJ

not attested not anchored not stored refs pending

Properties and Applications of a Restricted HR Gradient Operator

Mengdi Jiang, Wei Liu, Yi Li

arxiv:1407.5178 v1 · 2014-07-19 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMBT5DECQFDFY5QBR5ZXFNAKDJ}

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	2026-05-18T02:47:14.759805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63033e8c8281465c76018f7372b40a1a710ff1afed8e70a106133c7544ee1c78

Aliases

arxiv: 1407.5178 · arxiv_version: 1407.5178v1 · doi: 10.48550/arxiv.1407.5178 · pith_short_12: MMBT5DECQFDF · pith_short_16: MMBT5DECQFDFY5QB · pith_short_8: MMBT5DEC

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/MMBT5DECQFDFY5QBR5ZXFNAKDJ \
  | 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: 63033e8c8281465c76018f7372b40a1a710ff1afed8e70a106133c7544ee1c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e4a3a608c5bbaddf287090e04515d5829a8aa5195f208301a193eac0d9fe0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-19T12:19:39Z",
    "title_canon_sha256": "f060504d458e6cba875e7bfdc8f7fee2a0d87d1f628f11488853b3bdba509ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5178",
    "kind": "arxiv",
    "version": 1
  }
}