Pith Number

pith:KWQQ5SYR

pith:2008:KWQQ5SYRT42R32SN6BMFFDDABG

not attested not anchored not stored refs pending

Quasi-coherent sheaves on the moduli stack of formal groups

Paul G. Goerss

arxiv:0802.0996 v1 · 2008-02-07 · math.AT · 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{KWQQ5SYRT42R32SN6BMFFDDABG}

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	2026-07-04T15:09:23.269966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a10ecb119f351dea4df058528c6009a06af137fac9bdfeb794441d068884b4

Aliases

arxiv: 0802.0996 · arxiv_version: 0802.0996v1 · doi: 10.48550/arxiv.0802.0996 · pith_short_12: KWQQ5SYRT42R · pith_short_16: KWQQ5SYRT42R32SN · pith_short_8: KWQQ5SYR

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/KWQQ5SYRT42R32SN6BMFFDDABG \
  | 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: 55a10ecb119f351dea4df058528c6009a06af137fac9bdfeb794441d068884b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807641cd7ffbe9a1b928cf98ed18dc15830c7ada67120fb20539d78822026777",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-02-07T15:03:45Z",
    "title_canon_sha256": "b7ffd051917365474314109753095c56155ec7bb3f850b6a1ffd5a4058462f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0996",
    "kind": "arxiv",
    "version": 1
  }
}