Pith Number

pith:YQLNVDG6

pith:2019:YQLNVDG6ZLCV4M4SWONLQPDPDW

not attested not anchored not stored refs pending

Multiple Patterns Formation for an Aggregation/Diffusion Predator-Prey System

S. Fagioli, Y. Jaafra

arxiv:1904.05224 v1 · 2019-04-10 · 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{YQLNVDG6ZLCV4M4SWONLQPDPDW}

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	2026-05-17T23:48:53.770005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c416da8cdecac55e3392b39ab83c6f1dbda7e37d99db26e93c9f21565592290e

Aliases

arxiv: 1904.05224 · arxiv_version: 1904.05224v1 · doi: 10.48550/arxiv.1904.05224 · pith_short_12: YQLNVDG6ZLCV · pith_short_16: YQLNVDG6ZLCV4M4S · pith_short_8: YQLNVDG6

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/YQLNVDG6ZLCV4M4SWONLQPDPDW \
  | 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: c416da8cdecac55e3392b39ab83c6f1dbda7e37d99db26e93c9f21565592290e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e021ab14f248ecbf5e4160217f1f093cf86ef59ecfc5129c2c2fda3adc63d1fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-10T14:48:54Z",
    "title_canon_sha256": "7e33f7c75c7fe6f606e790b51a22eb016aaf58c0e44a78fb3f4cd98ed230478d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05224",
    "kind": "arxiv",
    "version": 1
  }
}