Pith Number

pith:YFHHGJ3W

pith:2010:YFHHGJ3WGS7XAMOABS6NS7R6U3

not attested not anchored not stored refs pending

Subgradients of Minimal Time Functions Under Minimal Requirements

Boris Mordukhovich, Nguyen Mau Nam

arxiv:1009.1585 v1 · 2010-09-08 · 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{YFHHGJ3WGS7XAMOABS6NS7R6U3}

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	2026-05-18T04:41:14.472902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14e73277634bf7031c00cbcd97e3ea6df47722ee50f5295bc73509fc9d5b1fe

Aliases

arxiv: 1009.1585 · arxiv_version: 1009.1585v1 · doi: 10.48550/arxiv.1009.1585 · pith_short_12: YFHHGJ3WGS7X · pith_short_16: YFHHGJ3WGS7XAMOA · pith_short_8: YFHHGJ3W

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/YFHHGJ3WGS7XAMOABS6NS7R6U3 \
  | 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: c14e73277634bf7031c00cbcd97e3ea6df47722ee50f5295bc73509fc9d5b1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ce10442750de6f74d2a59f349aba16ff75d49264fd2dd5dad6414c9443ec0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-08T16:44:17Z",
    "title_canon_sha256": "056189724ef4d632f249e245616382127f88109cb0fb1971d34b55b1d0b2b059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1585",
    "kind": "arxiv",
    "version": 1
  }
}