Pith Number

pith:SIPJVDYD

pith:2015:SIPJVDYDNUIHTA3Q7BF45LQFAV

not attested not anchored not stored refs pending

Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow

Alessio Figalli, Javier Morales, Moon-Jin Kang

arxiv:1509.02599 v1 · 2015-09-09 · 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{SIPJVDYDNUIHTA3Q7BF45LQFAV}

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	2026-05-18T01:33:34.608721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921e9a8f036d10798370f84bceae05056e7b58025dddeb595099e5b187e94a13

Aliases

arxiv: 1509.02599 · arxiv_version: 1509.02599v1 · doi: 10.48550/arxiv.1509.02599 · pith_short_12: SIPJVDYDNUIH · pith_short_16: SIPJVDYDNUIHTA3Q · pith_short_8: SIPJVDYD

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/SIPJVDYDNUIHTA3Q7BF45LQFAV \
  | 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: 921e9a8f036d10798370f84bceae05056e7b58025dddeb595099e5b187e94a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfc81188b94a929e01d692d0e4db5f5c6e87bfac7261f5449c6be8dcbdd38b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-09T01:49:58Z",
    "title_canon_sha256": "d49c49c24f22782f796bc864963183fbfe40b13abf4f23f474dac29ae3332f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02599",
    "kind": "arxiv",
    "version": 1
  }
}