Pith Number

pith:ULFULEZV

pith:2017:ULFULEZVW2IR7EKCAANLXWTLXC

not attested not anchored not stored refs pending

Controllability of evolution equations with memory

E. Zuazua, F. W. Chaves-Silva, X. Zhang

arxiv:1705.07683 v1 · 2017-05-22 · 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{ULFULEZVW2IR7EKCAANLXWTLXC}

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	2026-05-18T00:37:57.448115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2cb459335b6911f9142001abbda6bb8bcb4441b0ddfd20f6f049def858e61bd

Aliases

arxiv: 1705.07683 · arxiv_version: 1705.07683v1 · doi: 10.48550/arxiv.1705.07683 · pith_short_12: ULFULEZVW2IR · pith_short_16: ULFULEZVW2IR7EKC · pith_short_8: ULFULEZV

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/ULFULEZVW2IR7EKCAANLXWTLXC \
  | 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: a2cb459335b6911f9142001abbda6bb8bcb4441b0ddfd20f6f049def858e61bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a87646c7e8df43f91ac46fd95ad10b20daec6e4b60b0f44707d9c0448ddf4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-22T11:45:05Z",
    "title_canon_sha256": "f19bba902063ae987505dfcd9b243a89736113c20e79f287e708544c2d7d6040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07683",
    "kind": "arxiv",
    "version": 1
  }
}