Pith Number

pith:NNDNPBZ6

pith:2016:NNDNPBZ6AT2ICMYCKLZT456CRJ

not attested not anchored not stored refs pending

Some Remarks on Units in Grothendieck-Witt Rings

Tom Bachmann

arxiv:1612.04728 v3 · 2016-12-14 · math.KT · 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{NNDNPBZ6AT2ICMYCKLZT456CRJ}

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	2026-05-18T00:28:56.602257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b46d7873e04f481330252f33e77c28a69d05b1e8cd58fa553088be989795a8e

Aliases

arxiv: 1612.04728 · arxiv_version: 1612.04728v3 · doi: 10.48550/arxiv.1612.04728 · pith_short_12: NNDNPBZ6AT2I · pith_short_16: NNDNPBZ6AT2ICMYC · pith_short_8: NNDNPBZ6

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/NNDNPBZ6AT2ICMYCKLZT456CRJ \
  | 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: 6b46d7873e04f481330252f33e77c28a69d05b1e8cd58fa553088be989795a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cced58b3993fc15049daec13886fc302b678ef31c866a08d211d0dcf061c67c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-12-14T17:06:06Z",
    "title_canon_sha256": "fa88f10c7193f73dfb1f839b0c08123cace2bd753aacf727f19d6c98d2b88041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04728",
    "kind": "arxiv",
    "version": 3
  }
}