Pith Number

pith:Z3NZYXNB

pith:2006:Z3NZYXNB5LIFT5DTDTC35VKLDY

not attested not anchored not stored refs pending

The Milnor-Chow homomorphism revisited

Moritz Kerz, Stefan M\"uller-Stach

arxiv:math/0601175 v1 · 2006-01-09 · 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{Z3NZYXNB5LIFT5DTDTC35VKLDY}

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	2026-05-18T02:39:30.750070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cedb9c5da1ead059f4731cc5bed54b1e257ef03006d11c901bf4ec492f874d10

Aliases

arxiv: math/0601175 · arxiv_version: math/0601175v1 · doi: 10.48550/arxiv.math/0601175 · pith_short_12: Z3NZYXNB5LIF · pith_short_16: Z3NZYXNB5LIFT5DT · pith_short_8: Z3NZYXNB

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/Z3NZYXNB5LIFT5DTDTC35VKLDY \
  | 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: cedb9c5da1ead059f4731cc5bed54b1e257ef03006d11c901bf4ec492f874d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38fb0b785f46f65efea1bbec20a75f95abec8911536292d432ecbaea1dfe1d7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-09T14:05:56Z",
    "title_canon_sha256": "c3fbaa877815e10e64901c64341d27446f3e58a67aa808d6ed55ed5274e7c824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601175",
    "kind": "arxiv",
    "version": 1
  }
}