Pith Number

pith:LA5MQVY3

pith:2009:LA5MQVY3DVSOTCIGHBS5LR73YX

not attested not anchored not stored refs pending

Weak in Space, Log in Time Improvement of the Lady{\v{z}}enskaja-Prodi-Serrin Criteria

Alexis Vasseur, Clayton Bjorland

arxiv:0912.2969 v1 · 2009-12-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA5MQVY3DVSOTCIGHBS5LR73YX}

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	2026-05-18T02:10:23.314693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583ac8571b1d64e989063865d5c7fbc5d06b223ee38897ff2c2fcd8614480ddc

Aliases

arxiv: 0912.2969 · arxiv_version: 0912.2969v1 · doi: 10.48550/arxiv.0912.2969 · pith_short_12: LA5MQVY3DVSO · pith_short_16: LA5MQVY3DVSOTCIG · pith_short_8: LA5MQVY3

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/LA5MQVY3DVSOTCIGHBS5LR73YX \
  | 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: 583ac8571b1d64e989063865d5c7fbc5d06b223ee38897ff2c2fcd8614480ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172d7b641a03195114abad835441d3b5f8a1962dff88f617010ea51057825deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-15T17:47:29Z",
    "title_canon_sha256": "a1af93af964c402d534c81d06e9f31b600720be41332bb2e202104913d4991f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2969",
    "kind": "arxiv",
    "version": 1
  }
}