Pith Number

pith:K2N2NAGB

pith:2009:K2N2NAGBGSRKTMO6RODJIZNC5Y

not attested not anchored not stored refs pending

Algebraic independence of generalized Morita-Miller-Mumford classes

Johannes Ebert

arxiv:0910.1030 v2 · 2009-10-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2N2NAGBGSRKTMO6RODJIZNC5Y}

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	2026-05-18T01:22:30.956474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569ba680c134a2a9b1de8b869465a2ee3d2c1d8296d1cd09cb767ef7c3e241ac

Aliases

arxiv: 0910.1030 · arxiv_version: 0910.1030v2 · doi: 10.48550/arxiv.0910.1030 · pith_short_12: K2N2NAGBGSRK · pith_short_16: K2N2NAGBGSRKTMO6 · pith_short_8: K2N2NAGB

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/K2N2NAGBGSRKTMO6RODJIZNC5Y \
  | 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: 569ba680c134a2a9b1de8b869465a2ee3d2c1d8296d1cd09cb767ef7c3e241ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8571aa498a58b770efae89c164226dfaf0a403a5936ff4cf53085b5361603a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-06T14:54:54Z",
    "title_canon_sha256": "71da8e611559520ffcc0af6def0b24898e2e4f875a90a4346b18cc6bfeabed49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1030",
    "kind": "arxiv",
    "version": 2
  }
}