pith. sign in
Pith Number

pith:7MJOKIDM

pith:2019:7MJOKIDM3TB7BY5ZY4NGE5MNSF
not attested not anchored not stored refs pending

Population dynamics in river networks

Junping Shi, Rui Peng, Yu Jin

arxiv:1904.07395 v1 · 2019-04-16 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7MJOKIDM3TB7BY5ZY4NGE5MNSF}

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 2026-05-17T23:42:19.795211Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fb12e5206cdcc3f0e3b9c71a62758d917326d1d47636903e230b06136c185142

Aliases

arxiv: 1904.07395 · arxiv_version: 1904.07395v1 · doi: 10.48550/arxiv.1904.07395 · pith_short_12: 7MJOKIDM3TB7 · pith_short_16: 7MJOKIDM3TB7BY5Z · pith_short_8: 7MJOKIDM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7MJOKIDM3TB7BY5ZY4NGE5MNSF \
  | 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: fb12e5206cdcc3f0e3b9c71a62758d917326d1d47636903e230b06136c185142
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dd8e55224fbd773d2ba43acb3241db4c241b01e1d865cc3c31d701320cad8d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-16T01:55:06Z",
    "title_canon_sha256": "4d15f5778b29602e831ad86ad82b3ae73b2a9624769b6ff32ff5f9afcd1a5bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07395",
    "kind": "arxiv",
    "version": 1
  }
}