Pith Number

pith:LZLTCGLA

pith:2017:LZLTCGLAXK5TWEAXLXQDMHWKS7

not attested not anchored not stored refs pending

Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint

Bangti Jin, Buyang Li, Zhi Zhou

arxiv:1707.08808 v2 · 2017-07-27 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZLTCGLAXK5TWEAXLXQDMHWKS7}

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	2026-05-18T00:27:30.253815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e57311960babb3b10175de0361eca97f2ddf1c9b21974d83772fd7f3bfef4cc

Aliases

arxiv: 1707.08808 · arxiv_version: 1707.08808v2 · doi: 10.48550/arxiv.1707.08808 · pith_short_12: LZLTCGLAXK5T · pith_short_16: LZLTCGLAXK5TWEAX · pith_short_8: LZLTCGLA

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/LZLTCGLAXK5TWEAXLXQDMHWKS7 \
  | 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: 5e57311960babb3b10175de0361eca97f2ddf1c9b21974d83772fd7f3bfef4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a2c5928649f3b77f3abcd7d771b690658da23f7adbe56db086d2480b707f4f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-27T10:05:54Z",
    "title_canon_sha256": "b70ab798d4244b391e513bbcb003250873db57dcec3fdb6f42b584148321ff89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08808",
    "kind": "arxiv",
    "version": 2
  }
}