Pith Number

pith:YRIIHDMO

pith:2015:YRIIHDMOYQLAJ37GXRBYGEYIGY

not attested not anchored not stored refs pending

Milnor-Witt $K$-groups of local rings

Changlong Zhong, Stefan Gille, Stephen Scully

arxiv:1501.07631 v2 · 2015-01-29 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRIIHDMOYQLAJ37GXRBYGEYIGY}

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	2026-05-18T02:03:54.945763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c450838d8ec41604efe6bc4383130836330851604f79c6c279e8759bb06ba0a3

Aliases

arxiv: 1501.07631 · arxiv_version: 1501.07631v2 · doi: 10.48550/arxiv.1501.07631 · pith_short_12: YRIIHDMOYQLA · pith_short_16: YRIIHDMOYQLAJ37G · pith_short_8: YRIIHDMO

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/YRIIHDMOYQLAJ37GXRBYGEYIGY \
  | 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: c450838d8ec41604efe6bc4383130836330851604f79c6c279e8759bb06ba0a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a9671c57e9be02caf0d32c126263ffd3d8c1384c24063ad35cb4134d191e6d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-01-29T22:35:57Z",
    "title_canon_sha256": "0d298ce152bc5872990c78137fb30d037b0db9a303005c586c12674fb12910dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07631",
    "kind": "arxiv",
    "version": 2
  }
}