Pith Number

pith:CODE642K

pith:2010:CODE642K7UCB7RCD2Q6RBGYE64

not attested not anchored not stored refs pending

On Leray's problem for almost periodic flows

Luigi C. Berselli, Marco Romito

arxiv:1012.1726 v1 · 2010-12-08 · 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{CODE642K7UCB7RCD2Q6RBGYE64}

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	2026-05-18T04:33:51.374385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13864f734afd041fc443d43d109b04f71866d5e9b1c081f023922b447dd10b09

Aliases

arxiv: 1012.1726 · arxiv_version: 1012.1726v1 · doi: 10.48550/arxiv.1012.1726 · pith_short_12: CODE642K7UCB · pith_short_16: CODE642K7UCB7RCD · pith_short_8: CODE642K

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/CODE642K7UCB7RCD2Q6RBGYE64 \
  | 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: 13864f734afd041fc443d43d109b04f71866d5e9b1c081f023922b447dd10b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ae6dc7e5284601805198be4aa2cda3d498c53bbf7377b2d9f6d0fa9c68ff15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-08T10:11:25Z",
    "title_canon_sha256": "9b91e08090896d1ddd5b45204b88b99c77909a9671d167c2f100682a60b776a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1726",
    "kind": "arxiv",
    "version": 1
  }
}