Pith Number

pith:NBZT57AG

pith:2008:NBZT57AGIGZYCT4INUL63PGIVP

not attested not anchored not stored refs pending

Operations in Milnor K-theory

Charles Vial

arxiv:0812.0481 v1 · 2008-12-02 · 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{NBZT57AGIGZYCT4INUL63PGIVP}

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	2026-05-18T02:19:36.696444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68733efc0641b3814f886d17edbcc8abe56ae2fc127cbdfe23f247e7fab6eae0

Aliases

arxiv: 0812.0481 · arxiv_version: 0812.0481v1 · doi: 10.48550/arxiv.0812.0481 · pith_short_12: NBZT57AGIGZY · pith_short_16: NBZT57AGIGZYCT4I · pith_short_8: NBZT57AG

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/NBZT57AGIGZYCT4INUL63PGIVP \
  | 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: 68733efc0641b3814f886d17edbcc8abe56ae2fc127cbdfe23f247e7fab6eae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93946253dfd54d2d8d8499a39ceb126eb169e5b5c5580c0167644d1da7799ed3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-12-02T12:41:07Z",
    "title_canon_sha256": "837bf3d166742493ff62bcaabafb1b3ed61d883599bf767334c12430bda28c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0481",
    "kind": "arxiv",
    "version": 1
  }
}