Pith Number

pith:Q2C6UOJK

pith:2016:Q2C6UOJKOU5K3CH3NEX6ZROWA4

not attested not anchored not stored refs pending

On relations between the classes $\mathcal S$ and $\mathcal U$

Karl-Joachim Wirths, Milutin Obradovi\'c, Saminathan Ponnusamy

arxiv:1604.07733 v2 · 2016-04-26 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2C6UOJKOU5K3CH3NEX6ZROWA4}

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	2026-05-18T01:09:06.482403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8685ea392a753aad88fb692fecc5d607376c2dffbe1bbe9293eeff35e52571d0

Aliases

arxiv: 1604.07733 · arxiv_version: 1604.07733v2 · doi: 10.48550/arxiv.1604.07733 · pith_short_12: Q2C6UOJKOU5K · pith_short_16: Q2C6UOJKOU5K3CH3 · pith_short_8: Q2C6UOJK

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/Q2C6UOJKOU5K3CH3NEX6ZROWA4 \
  | 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: 8685ea392a753aad88fb692fecc5d607376c2dffbe1bbe9293eeff35e52571d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f2312d7c27dfe600259467ab0639e768bf5db49a2f6262bb6a03b53e8ce887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-26T16:07:42Z",
    "title_canon_sha256": "3897ac3089f18d4214d1a69c4a0918074865dc380f9ac5768835d91028e9d924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07733",
    "kind": "arxiv",
    "version": 2
  }
}