Pith Number

pith:CGSK5IBH

pith:2015:CGSK5IBHWI2DID3WOOUMIQUMUQ

not attested not anchored not stored refs pending

Nonlinear Metric Subregularity

Alexander Y. Kruger

arxiv:1502.06159 v2 · 2015-02-22 · 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{CGSK5IBHWI2DID3WOOUMIQUMUQ}

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	2026-05-18T00:13:08.304681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a4aea027b234340f7673a8c4428ca42ccdb42891bf8837599e5476c0379c15

Aliases

arxiv: 1502.06159 · arxiv_version: 1502.06159v2 · doi: 10.48550/arxiv.1502.06159 · pith_short_12: CGSK5IBHWI2D · pith_short_16: CGSK5IBHWI2DID3W · pith_short_8: CGSK5IBH

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/CGSK5IBHWI2DID3WOOUMIQUMUQ \
  | 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: 11a4aea027b234340f7673a8c4428ca42ccdb42891bf8837599e5476c0379c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea58d005b06ef0495b9d1ef5802ccd22c186802e4e261c02c10e9df7b762cba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-02-22T01:16:11Z",
    "title_canon_sha256": "ec4fc42eea2655750a31a8e5179b329746ef634bea9a527008cbbdbf2c945e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06159",
    "kind": "arxiv",
    "version": 2
  }
}