Pith Number

pith:TG3UMG4L

pith:2013:TG3UMG4LMN5PA35WZCTZ6UU7EX

not attested not anchored not stored refs pending

Sustainable Ecosystem Planning Based on Discrete Stochastic Dynamic Programming and Evolutionary Game Theory

Yuan Zhang

arxiv:1305.1990 v3 · 2013-05-09 · math.OC · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TG3UMG4LMN5PA35WZCTZ6UU7EX}

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.

Cited by

1 paper in Pith

E-values and sequential power-one tests for monotonicity and unimodality

Receipt and verification

First computed	2026-05-18T03:22:05.083005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b7461b8b637af06fb6c8a79f529f25eacce8e731e5f97a0f6686cbdd98cadb

Aliases

arxiv: 1305.1990 · arxiv_version: 1305.1990v3 · doi: 10.48550/arxiv.1305.1990 · pith_short_12: TG3UMG4LMN5P · pith_short_16: TG3UMG4LMN5PA35W · pith_short_8: TG3UMG4L

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/TG3UMG4LMN5PA35WZCTZ6UU7EX \
  | 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: 99b7461b8b637af06fb6c8a79f529f25eacce8e731e5f97a0f6686cbdd98cadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22df8a2603824308352835a10649117d5dc60b80a07cab3bd91b30a5629fbd4a",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-09T01:45:33Z",
    "title_canon_sha256": "c221f26661d6da456a574102acc988c164ee77c97d8ab599e0e175c2fbc1ae5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1990",
    "kind": "arxiv",
    "version": 3
  }
}