Pith Number

pith:NHWJQI7F

pith:2019:NHWJQI7FLII5UURRPKJ24ZK7OU

not attested not anchored not stored refs pending

Mean-field analysis of multi-population dynamics with label switching

Francesco Solombrino, Marco Morandotti

arxiv:1907.02739 v3 · 2019-07-05 · 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{NHWJQI7FLII5UURRPKJ24ZK7OU}

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	2026-05-17T23:40:54.882469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ec9823e55a11da52317a93ae655f7526d5dd1b2b1f865412a2951a483a5e51

Aliases

arxiv: 1907.02739 · arxiv_version: 1907.02739v3 · doi: 10.48550/arxiv.1907.02739 · pith_short_12: NHWJQI7FLII5 · pith_short_16: NHWJQI7FLII5UURR · pith_short_8: NHWJQI7F

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/NHWJQI7FLII5UURRPKJ24ZK7OU \
  | 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: 69ec9823e55a11da52317a93ae655f7526d5dd1b2b1f865412a2951a483a5e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e646b52db9542d0994e65e955b77c7ac3dd8ab511ede4e0e4b592fcc7ccc5618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-05T09:31:38Z",
    "title_canon_sha256": "0d0bafa886879938cc86a70da6b882e299579c11289cb182d7862d56cc4c201a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02739",
    "kind": "arxiv",
    "version": 3
  }
}