Pith Number

pith:KPAXNDB5

pith:2001:KPAXNDB576L427DIYDOALCIAZA

not attested not anchored not stored refs pending

An exact sequence for Milnor's K-theory with applications to quadratic forms

Alexander Vishik, Dmitry Orlov, Vladimir Voevodsky

arxiv:math/0101023 v1 · 2001-01-03 · math.AG · 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{KPAXNDB576L427DIYDOALCIAZA}

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	2026-05-18T00:07:56.471256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c1768c3dff97cd7c68c0dc058900c81457a02680f4b3ff91009eb2d611cc0c

Aliases

arxiv: math/0101023 · arxiv_version: math/0101023v1 · doi: 10.48550/arxiv.math/0101023 · pith_short_12: KPAXNDB576L4 · pith_short_16: KPAXNDB576L427DI · pith_short_8: KPAXNDB5

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/KPAXNDB576L427DIYDOALCIAZA \
  | 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: 53c1768c3dff97cd7c68c0dc058900c81457a02680f4b3ff91009eb2d611cc0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "970d4cd873ada13e6b6a7d2a153e5561ba34fd00bd8aab72db004b842ab9c490",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-01-03T17:30:18Z",
    "title_canon_sha256": "bfc11e71dce3b5978c87b2c66761c0fdf6708b1f43e0a5c77da5886933a51c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101023",
    "kind": "arxiv",
    "version": 1
  }
}