Pith Number

pith:BRDWRRF4

pith:2017:BRDWRRF4YRCRC7FT6RUZN26PEK

not attested not anchored not stored refs pending

Unimodular rows over monoid rings

Joseph Gubeladze

arxiv:1706.04364 v3 · 2017-06-14 · math.KT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRDWRRF4YRCRC7FT6RUZN26PEK}

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	2026-05-18T00:06:51.311253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4768c4bcc445117cb3f46996ebcf22bdf95e1c5f15b0ab2128732b7e3e5c03

Aliases

arxiv: 1706.04364 · arxiv_version: 1706.04364v3 · doi: 10.48550/arxiv.1706.04364 · pith_short_12: BRDWRRF4YRCR · pith_short_16: BRDWRRF4YRCRC7FT · pith_short_8: BRDWRRF4

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/BRDWRRF4YRCRC7FT6RUZN26PEK \
  | 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: 0c4768c4bcc445117cb3f46996ebcf22bdf95e1c5f15b0ab2128732b7e3e5c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7aa4dfd594b1942a3a65d2f889a36d16cb4f3735b08d4eef582b5c354cb725",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-06-14T08:40:51Z",
    "title_canon_sha256": "b3b707251a7b2fe1ee141eb94ff00db9db559c83890166dde5e9f9e69b0931c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04364",
    "kind": "arxiv",
    "version": 3
  }
}