Pith Number

pith:7FHA3QAI

pith:2014:7FHA3QAIMZ6CMAXNTVQYVY6DVC

not attested not anchored not stored refs pending

Exponential self-similar mixing and loss of regularity for continuity equations

Anna L. Mazzucato, Gianluca Crippa, Giovanni Alberti

arxiv:1407.2631 v2 · 2014-07-09 · 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{7FHA3QAIMZ6CMAXNTVQYVY6DVC}

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	2026-05-18T02:42:27.959014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94e0dc008667c2602ed9d618ae3c3a8bb54ebe4b874606b8c616371a3c6bec6

Aliases

arxiv: 1407.2631 · arxiv_version: 1407.2631v2 · doi: 10.48550/arxiv.1407.2631 · pith_short_12: 7FHA3QAIMZ6C · pith_short_16: 7FHA3QAIMZ6CMAXN · pith_short_8: 7FHA3QAI

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/7FHA3QAIMZ6CMAXNTVQYVY6DVC \
  | 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: f94e0dc008667c2602ed9d618ae3c3a8bb54ebe4b874606b8c616371a3c6bec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9892697257d8096eeafcb1bb1088f18db049a488b23f5f19c99be881d0bb43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-09T20:39:45Z",
    "title_canon_sha256": "f75917351d03a493603ec2ca15514bf5b4c502bcde53464a3668769661afc9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2631",
    "kind": "arxiv",
    "version": 2
  }
}