Pith Number

pith:3MFK3EMG

pith:2016:3MFK3EMGXUWRJEHUE2M7YOVOAP

not attested not anchored not stored refs pending

Competition for light in forest population dynamics: from computer simulator to mathematical model

Pierre Magal, Zhengyang Zhang

arxiv:1609.00185 v1 · 2016-09-01 · q-bio.PE · 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{3MFK3EMGXUWRJEHUE2M7YOVOAP}

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	2026-05-18T01:06:26.659904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0aad9186bd2d1490f42699fc3aae03e9da1ee7e268756e1ab8644309499de8

Aliases

arxiv: 1609.00185 · arxiv_version: 1609.00185v1 · doi: 10.48550/arxiv.1609.00185 · pith_short_12: 3MFK3EMGXUWR · pith_short_16: 3MFK3EMGXUWRJEHU · pith_short_8: 3MFK3EMG

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/3MFK3EMGXUWRJEHUE2M7YOVOAP \
  | 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: db0aad9186bd2d1490f42699fc3aae03e9da1ee7e268756e1ab8644309499de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654b831419ce75fc93f8a017a7896be8551c948c5ff67df1b92a54c7daa23130",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-09-01T11:10:09Z",
    "title_canon_sha256": "9e9760d67024bbf45fd3cbac7b4b84eaf676de142a41ed07730635be41330fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00185",
    "kind": "arxiv",
    "version": 1
  }
}