Pith Number

pith:2WPTX3D2

pith:2019:2WPTX3D2QH34MT4RI5MSK3IAFP

not attested not anchored not stored refs pending

$n$-Cotorsion pairs

Marco A. P\'erez, Mindy Huerta, Octavio Mendoza

arxiv:1902.10863 v1 · 2019-02-28 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WPTX3D2QH34MT4RI5MSK3IAFP}

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	2026-07-05T01:39:53.603267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59f3bec7a81f7c64f914759256d002be3508cc3bcd7b6d7e6d6134fb2b29bfd

Aliases

arxiv: 1902.10863 · arxiv_version: 1902.10863v1 · doi: 10.48550/arxiv.1902.10863 · pith_short_12: 2WPTX3D2QH34 · pith_short_16: 2WPTX3D2QH34MT4R · pith_short_8: 2WPTX3D2

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/2WPTX3D2QH34MT4RI5MSK3IAFP \
  | 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: d59f3bec7a81f7c64f914759256d002be3508cc3bcd7b6d7e6d6134fb2b29bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86acbfb02587cb07627c53f3ccf64170743adb944f7c20f7860c82ab62975517",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-02-28T02:13:51Z",
    "title_canon_sha256": "d0a532a76c783bc6ea0f81ec0fb5c4241911281204a43497464552819e8f6b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10863",
    "kind": "arxiv",
    "version": 1
  }
}