Pith Number

pith:MQYMNUGO

pith:2018:MQYMNUGOBH3IU6WWM5IZLJDMPW

not attested not anchored not stored refs pending

Tensor products of affine and formal abelian groups

Magnus Carlson, Tilman Bauer

arxiv:1804.10153 v1 · 2018-04-26 · math.AG · 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{MQYMNUGOBH3IU6WWM5IZLJDMPW}

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	2026-05-18T00:17:25.015543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6430c6d0ce09f68a7ad6675195a46c7d9aaa0efc904dafa072850d413969d8eb

Aliases

arxiv: 1804.10153 · arxiv_version: 1804.10153v1 · doi: 10.48550/arxiv.1804.10153 · pith_short_12: MQYMNUGOBH3I · pith_short_16: MQYMNUGOBH3IU6WW · pith_short_8: MQYMNUGO

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/MQYMNUGOBH3IU6WWM5IZLJDMPW \
  | 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: 6430c6d0ce09f68a7ad6675195a46c7d9aaa0efc904dafa072850d413969d8eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f000533fc44b9fd3f59bce1869ebc9835dc6a9f5c44b0b42ef5397c9ab9943d4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-26T16:27:00Z",
    "title_canon_sha256": "f2afa3fc99fb1f90fa6660974f01d086ae653f05466ca4afd833e00fc33e2176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10153",
    "kind": "arxiv",
    "version": 1
  }
}