Pith Number

pith:Z2BH6A4R

pith:2026:Z2BH6A4R2U25M4E3SDQNRQOF37

not attested not anchored not stored refs pending

Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux

Jiguang Yu, Louis Shuo Wang

arxiv:2607.03790 v1 · 2026-07-04 · 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{Z2BH6A4R2U25M4E3SDQNRQOF37}

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	2026-07-07T02:18:07.869555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce827f0391d535d6709b90e0d8c1c5dfeaf37ce9ef515ce1d740ddb1cfba6ec6

Aliases

arxiv: 2607.03790 · arxiv_version: 2607.03790v1 · doi: 10.48550/arxiv.2607.03790 · pith_short_12: Z2BH6A4R2U25 · pith_short_16: Z2BH6A4R2U25M4E3 · pith_short_8: Z2BH6A4R

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/Z2BH6A4R2U25M4E3SDQNRQOF37 \
  | 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: ce827f0391d535d6709b90e0d8c1c5dfeaf37ce9ef515ce1d740ddb1cfba6ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa3ceb611cc838a0a7206a348abd169eede876e31a586e1b9b5e7b84f1a1edf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-04T09:33:04Z",
    "title_canon_sha256": "e04ab89cb64592b144dbeac66b5189b9fdae0424f40aa7f9ad29289ab745794f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03790",
    "kind": "arxiv",
    "version": 1
  }
}