Pith Number

pith:3ZCTO3CM

pith:2016:3ZCTO3CMQEBMNN5PYDK7NF6VYM

not attested not anchored not stored refs pending

Flows generated by divergence free vector fields with compact support

Olivier Kneuss, Wladimir Neves

arxiv:1611.05928 v1 · 2016-11-17 · 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{3ZCTO3CMQEBMNN5PYDK7NF6VYM}

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	2026-05-18T00:57:43.447626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de45376c4c8102c6b7afc0d5f697d5c31a94597f4297e7e3d86197668929c9ef

Aliases

arxiv: 1611.05928 · arxiv_version: 1611.05928v1 · doi: 10.48550/arxiv.1611.05928 · pith_short_12: 3ZCTO3CMQEBM · pith_short_16: 3ZCTO3CMQEBMNN5P · pith_short_8: 3ZCTO3CM

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/3ZCTO3CMQEBMNN5PYDK7NF6VYM \
  | 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: de45376c4c8102c6b7afc0d5f697d5c31a94597f4297e7e3d86197668929c9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fe48d616e02f0ee39885d958b2bcb60a24e7607350e36b615de8a4da0de828",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-17T23:02:07Z",
    "title_canon_sha256": "652c0c10a159a9db2c706ec738eb8bf5f0338a739afbdff26502e6964fde076b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05928",
    "kind": "arxiv",
    "version": 1
  }
}