Pith Number

pith:PBP75K43

pith:2012:PBP75K43NLJPHXBHCS72HQZKHY

not attested not anchored not stored refs pending

Nonstandard Tools for Nonsmooth Analysis

S. S. Kutateladze

arxiv:1206.2364 v1 · 2012-06-11 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBP75K43NLJPHXBHCS72HQZKHY}

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	2026-05-18T03:49:21.683850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785ffeab9b6ad2f3dc2714bfa3c32a3e2d15477a7a01fa37d2698209c8cb6e41

Aliases

arxiv: 1206.2364 · arxiv_version: 1206.2364v1 · doi: 10.48550/arxiv.1206.2364 · pith_short_12: PBP75K43NLJP · pith_short_16: PBP75K43NLJPHXBH · pith_short_8: PBP75K43

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/PBP75K43NLJPHXBHCS72HQZKHY \
  | 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: 785ffeab9b6ad2f3dc2714bfa3c32a3e2d15477a7a01fa37d2698209c8cb6e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cce0cc422e5fa46304324ec8a4bde84aaf85ef6122fe1dadc1dca1a80b3f127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-06-11T22:35:00Z",
    "title_canon_sha256": "acc2a3f91fafc85fcdbe26ba91a119898284e029394c7543525d5856f3a513fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2364",
    "kind": "arxiv",
    "version": 1
  }
}