Pith Number

pith:TXHT3GZJ

pith:2016:TXHT3GZJ6ZSTHN3OFYCM5RI25J

not attested not anchored not stored refs pending

Decompositions and bang-bang properties

Gengsheng Wang, Yubiao Zhang

arxiv:1603.05362 v1 · 2016-03-17 · 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{TXHT3GZJ6ZSTHN3OFYCM5RI25J}

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	2026-05-18T01:18:56.521435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcf3d9b29f66533b76e2e04cec51aea52c91124d62a17812f63988af124f893

Aliases

arxiv: 1603.05362 · arxiv_version: 1603.05362v1 · doi: 10.48550/arxiv.1603.05362 · pith_short_12: TXHT3GZJ6ZST · pith_short_16: TXHT3GZJ6ZSTHN3O · pith_short_8: TXHT3GZJ

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/TXHT3GZJ6ZSTHN3OFYCM5RI25J \
  | 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: 9dcf3d9b29f66533b76e2e04cec51aea52c91124d62a17812f63988af124f893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7598011244c086d8d0055a3dec3ad9a7840805f3d6f1e739db0120f48f64c764",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-17T05:57:57Z",
    "title_canon_sha256": "aae85be41c1ec3da2219c61fac019e6df2528730aa756487b034053d85ef63ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05362",
    "kind": "arxiv",
    "version": 1
  }
}