Pith Number

pith:OC2COU3O

pith:2017:OC2COU3OZUU6QOSHRGURF4ZSFP

not attested not anchored not stored refs pending

An implicit multifunction theorem for the hemiregularity of mappings with application to constrained optimization

Amos Uderzo

arxiv:1703.10552 v2 · 2017-03-30 · 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{OC2COU3OZUU6QOSHRGURF4ZSFP}

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	2026-05-18T00:46:58.892567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b427536ecd29e83a4789a912f3322bdba20c89187571ad5b4d623b1d0ba022

Aliases

arxiv: 1703.10552 · arxiv_version: 1703.10552v2 · doi: 10.48550/arxiv.1703.10552 · pith_short_12: OC2COU3OZUU6 · pith_short_16: OC2COU3OZUU6QOSH · pith_short_8: OC2COU3O

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/OC2COU3OZUU6QOSHRGURF4ZSFP \
  | 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: 70b427536ecd29e83a4789a912f3322bdba20c89187571ad5b4d623b1d0ba022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7389e218402f3c5f0125b75f9d5bacdb75b066a454172e25761542a3a343fd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-30T16:18:24Z",
    "title_canon_sha256": "0ef52198ee36d51b9bd6a89ad2ba8e109779c966b9def8cdc7727ad45f130b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10552",
    "kind": "arxiv",
    "version": 2
  }
}