Pith Number

pith:NGYTZ5US

pith:2008:NGYTZ5USUB564ZEAES2AF53YTD

not attested not anchored not stored refs pending

Relative Chern characters for nilpotent ideals

Charles Weibel, Guillermo Corti\~nas

arxiv:0807.1811 v3 · 2008-07-11 · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGYTZ5USUB564ZEAES2AF53YTD}

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	2026-05-18T04:16:31.076511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b13cf692a07bee648024b402f77898de5e6a8a17face0eda697c56ca8907dd

Aliases

arxiv: 0807.1811 · arxiv_version: 0807.1811v3 · doi: 10.48550/arxiv.0807.1811 · pith_short_12: NGYTZ5USUB56 · pith_short_16: NGYTZ5USUB564ZEA · pith_short_8: NGYTZ5US

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/NGYTZ5USUB564ZEAES2AF53YTD \
  | 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: 69b13cf692a07bee648024b402f77898de5e6a8a17face0eda697c56ca8907dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb4405f84ec9330f019beb623ea846a57803fa4e1258c3ddafc3907d36305e7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-07-11T10:23:35Z",
    "title_canon_sha256": "7f626829867236abac580b21563e0fcd429b293b1f831924c614f095d89f8422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1811",
    "kind": "arxiv",
    "version": 3
  }
}