Pith Number

pith:SUBL4W2W

pith:2012:SUBL4W2WMXHZ2WI5OXEGGQT3BK

not attested not anchored not stored refs pending

Metric products and continuation of isotone functions

E. Petrov, G. Kozub, O. Dovgoshey

arxiv:1203.0257 v1 · 2012-03-01 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUBL4W2WMXHZ2WI5OXEGGQT3BK}

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	2026-05-18T04:01:02.665410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9502be5b5665cf9d591d75c863427b0aa7a4727cc03a356845f61a839d3b750a

Aliases

arxiv: 1203.0257 · arxiv_version: 1203.0257v1 · doi: 10.48550/arxiv.1203.0257 · pith_short_12: SUBL4W2WMXHZ · pith_short_16: SUBL4W2WMXHZ2WI5 · pith_short_8: SUBL4W2W

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/SUBL4W2WMXHZ2WI5OXEGGQT3BK \
  | 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: 9502be5b5665cf9d591d75c863427b0aa7a4727cc03a356845f61a839d3b750a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48faa6e2327b49f99b62fdf7b257cb039ae5a2d31c0379c509975408a474df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-03-01T18:00:31Z",
    "title_canon_sha256": "01e1ddf83a06f2a9c66b1a82c3ed5bc484a79a42ec95755fef89ede3b68bf369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0257",
    "kind": "arxiv",
    "version": 1
  }
}