Pith Number

pith:DKDV4K4W

pith:2016:DKDV4K4W4ZG6XLPX3ZPECRR32Y

not attested not anchored not stored refs pending

A fitness-driven cross-diffusion system from polulation dynamics as a gradient flow

Dmitry Vorotnikov, L\'eonard Monsaingeon, Stanislav Kondratyev

arxiv:1603.06431 v1 · 2016-03-21 · 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{DKDV4K4W4ZG6XLPX3ZPECRR32Y}

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	2026-05-18T01:18:48.531859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a875e2b96e64debadf7de5e41463bd631fbbe117a3e5ca9130b58dd520cfa47

Aliases

arxiv: 1603.06431 · arxiv_version: 1603.06431v1 · doi: 10.48550/arxiv.1603.06431 · pith_short_12: DKDV4K4W4ZG6 · pith_short_16: DKDV4K4W4ZG6XLPX · pith_short_8: DKDV4K4W

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/DKDV4K4W4ZG6XLPX3ZPECRR32Y \
  | 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: 1a875e2b96e64debadf7de5e41463bd631fbbe117a3e5ca9130b58dd520cfa47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb9f089615d36534b62b708ea4fdfaa847b81c69bf3d48b11c3479e7c9a9dd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-21T14:18:29Z",
    "title_canon_sha256": "0ede043039217f41645270b105051f14b0ea45b55f3b217cece36b8d87f70dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06431",
    "kind": "arxiv",
    "version": 1
  }
}