Pith Number

pith:DDSC2KK6

pith:2015:DDSC2KK6J6QHG4N5E55POLTD6B

not attested not anchored not stored refs pending

Reproduction numbers and the expanding fronts for a diffusion-advection SIS model in heterogeneous time-periodic environment

Chengxia Lei, Jing Ge, Zhigui Lin

arxiv:1510.03552 v1 · 2015-10-13 · 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{DDSC2KK6J6QHG4N5E55POLTD6B}

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	2026-05-18T01:30:16.850127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e42d295e4fa07371bd277af72e63f06d3bb629776f71ca321efdd9f4b906cd

Aliases

arxiv: 1510.03552 · arxiv_version: 1510.03552v1 · doi: 10.48550/arxiv.1510.03552 · pith_short_12: DDSC2KK6J6QH · pith_short_16: DDSC2KK6J6QHG4N5 · pith_short_8: DDSC2KK6

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/DDSC2KK6J6QHG4N5E55POLTD6B \
  | 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: 18e42d295e4fa07371bd277af72e63f06d3bb629776f71ca321efdd9f4b906cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4cb3612ee2e999f1e2216255b8de9e504936b52fc4f19e847ab3b63f4bf317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-13T07:03:08Z",
    "title_canon_sha256": "d701907fdc4f693db44ae4b11e49b7902531634457078fc221876e95794be0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03552",
    "kind": "arxiv",
    "version": 1
  }
}