Pith Number

pith:QDXW4LJK

pith:2010:QDXW4LJKTALR7MOSKTERVTGFNR

not attested not anchored not stored refs pending

Detecting flatness over smooth bases

Luchezar L. Avramov, Srikanth B. Iyengar

arxiv:1002.3652 v2 · 2010-02-19 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDXW4LJKTALR7MOSKTERVTGFNR}

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	2026-05-18T04:31:13.125003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80ef6e2d2a98171fb1d254c91accc56c5eca119a55a2fa02bc538ac39121b25d

Aliases

arxiv: 1002.3652 · arxiv_version: 1002.3652v2 · doi: 10.48550/arxiv.1002.3652 · pith_short_12: QDXW4LJKTALR · pith_short_16: QDXW4LJKTALR7MOS · pith_short_8: QDXW4LJK

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/QDXW4LJKTALR7MOSKTERVTGFNR \
  | 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: 80ef6e2d2a98171fb1d254c91accc56c5eca119a55a2fa02bc538ac39121b25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4b0fd67ba9e0561ef9b65cc90a6b0756d43ef3dd649b519afdfe0560aff62d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-19T01:22:09Z",
    "title_canon_sha256": "4a1386fca85a64f7d605a149ffd82d25790c178586ef263e5fb5f1c388d8bbfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3652",
    "kind": "arxiv",
    "version": 2
  }
}