Pith Number

pith:VHE2KFOG

pith:2014:VHE2KFOGNFLXAWV6TLB6KDTPRB

not attested not anchored not stored refs pending

On monotonicity of some functionals under rearrangements

A.I. Nazarov, S.V. Bankevich

arxiv:1402.3006 v1 · 2014-02-12 · 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{VHE2KFOGNFLXAWV6TLB6KDTPRB}

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	2026-05-18T02:59:08.077702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c9a515c66957705abe9ac3e50e6f887e5fd6577c3bf3c754fac2d8990ba73f

Aliases

arxiv: 1402.3006 · arxiv_version: 1402.3006v1 · doi: 10.48550/arxiv.1402.3006 · pith_short_12: VHE2KFOGNFLX · pith_short_16: VHE2KFOGNFLXAWV6 · pith_short_8: VHE2KFOG

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/VHE2KFOGNFLXAWV6TLB6KDTPRB \
  | 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: a9c9a515c66957705abe9ac3e50e6f887e5fd6577c3bf3c754fac2d8990ba73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84724705f2a1fe36335b7ecd3ec40771c8e0b8bdc55c469ed3bf39ab8acf3acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-12T23:37:50Z",
    "title_canon_sha256": "eee57c6c02d4736e15607b5ca8e48afe8067062b13d0e484bff80772499b8b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3006",
    "kind": "arxiv",
    "version": 1
  }
}