Pith Number

pith:EHV4BD7U

pith:2017:EHV4BD7UQ7AYQI7QWIJADJJXRS

not attested not anchored not stored refs pending

Multiplicative properties of the multiplicative group

Bruno Kahn

arxiv:1706.02522 v2 · 2017-06-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHV4BD7UQ7AYQI7QWIJADJJXRS}

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	2026-05-17T23:54:07.635482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ebc08ff487c18823f0b21201a5378c89135072f6d9aa4b9c5d1c3d2e2dd551

Aliases

arxiv: 1706.02522 · arxiv_version: 1706.02522v2 · doi: 10.48550/arxiv.1706.02522 · pith_short_12: EHV4BD7UQ7AY · pith_short_16: EHV4BD7UQ7AYQI7Q · pith_short_8: EHV4BD7U

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/EHV4BD7UQ7AYQI7QWIJADJJXRS \
  | 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: 21ebc08ff487c18823f0b21201a5378c89135072f6d9aa4b9c5d1c3d2e2dd551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defff71791c8b5d2816c147ec6305cb2356795a835f3c3e72d2848527ebb420f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-08T11:35:02Z",
    "title_canon_sha256": "95eece65aecbe5cc2552238725179ad4508f7523066161ee61fd28fc3db1e04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02522",
    "kind": "arxiv",
    "version": 2
  }
}