Pith Number

pith:IBFUWYVJ

pith:2011:IBFUWYVJNWV6XZNR2NIQCTB7F2

not attested not anchored not stored refs pending

Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory

Boris S. Mordukhovich, Hung M. Phan

arxiv:1101.4178 v1 · 2011-01-21 · 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{IBFUWYVJNWV6XZNR2NIQCTB7F2}

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	2026-05-18T04:31:12.585255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

404b4b62a96dabebe5b1d351014c3f2eb3186523cde002e5c57ba79727fe65b9

Aliases

arxiv: 1101.4178 · arxiv_version: 1101.4178v1 · doi: 10.48550/arxiv.1101.4178 · pith_short_12: IBFUWYVJNWV6 · pith_short_16: IBFUWYVJNWV6XZNR · pith_short_8: IBFUWYVJ

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/IBFUWYVJNWV6XZNR2NIQCTB7F2 \
  | 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: 404b4b62a96dabebe5b1d351014c3f2eb3186523cde002e5c57ba79727fe65b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad4f3c269c8a31b6e1a68fee6a13e2f99f5a210478ad0198f206b809a46c60ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-21T16:41:12Z",
    "title_canon_sha256": "df2ced94c1052245f7b075316006f9a1d3c49abedae04541692388daf2253882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4178",
    "kind": "arxiv",
    "version": 1
  }
}