Pith Number

pith:BCAIMRCD

pith:2009:BCAIMRCDCFIUIYEGW4GBTB5YFR

not attested not anchored not stored refs pending

Noetherian approximation of algebraic spaces and stacks

David Rydh

arxiv:0904.0227 v4 · 2009-04-01 · 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{BCAIMRCDCFIUIYEGW4GBTB5YFR}

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	2026-05-18T01:31:30.607308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08808644431151446086b70c1987b82c40697048a966ae28a7fa218167b3ffb9

Aliases

arxiv: 0904.0227 · arxiv_version: 0904.0227v4 · doi: 10.48550/arxiv.0904.0227 · pith_short_12: BCAIMRCDCFIU · pith_short_16: BCAIMRCDCFIUIYEG · pith_short_8: BCAIMRCD

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/BCAIMRCDCFIUIYEGW4GBTB5YFR \
  | 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: 08808644431151446086b70c1987b82c40697048a966ae28a7fa218167b3ffb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceecd4fdc5c55b764f7493aa91cb16e2bb1d8c3c11c95e5d194c41191bb7889e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-01T18:26:28Z",
    "title_canon_sha256": "0a222ee660ad93ada6f61be0436a54bb91e6604f9361649ce7b33689c14f1001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0227",
    "kind": "arxiv",
    "version": 4
  }
}