Pith Number

pith:3T3TX2MR

pith:2014:3T3TX2MR6UCT42FLS37XTEWFT4

not attested not anchored not stored refs pending

Weak solutions of the cohomological equation on R^2 for regular vector fields

Roberto De Leo

arxiv:1401.5158 v1 · 2014-01-21 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T3TX2MR6UCT42FLS37XTEWFT4}

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	2026-05-18T03:01:34.711269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf73be991f5053e68ab96ff7992c59f0ad13a8c211afbd368b209fb3b0d0cf9

Aliases

arxiv: 1401.5158 · arxiv_version: 1401.5158v1 · doi: 10.48550/arxiv.1401.5158 · pith_short_12: 3T3TX2MR6UCT · pith_short_16: 3T3TX2MR6UCT42FL · pith_short_8: 3T3TX2MR

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/3T3TX2MR6UCT42FLS37XTEWFT4 \
  | 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: dcf73be991f5053e68ab96ff7992c59f0ad13a8c211afbd368b209fb3b0d0cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8deadec5b517ab4cc604fd3d290908a42b2634b86b5c84ec17cc465587dd388a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-21T03:07:58Z",
    "title_canon_sha256": "dcd87874a57e7c17d9b6da432bddedfc483ac26ea095ddc36459b78bbef3f444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5158",
    "kind": "arxiv",
    "version": 1
  }
}