Pith Number

pith:SZBOX77T

pith:2026:SZBOX77TYTQEQVVORRQH5KWT3Q

not attested not anchored not stored refs pending

Vital-Rate Feedback and Threshold Harvesting in Size-Structured Populations

Louis Shuo Wang

arxiv:2606.25288 v1 · 2026-06-24 · 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{SZBOX77TYTQEQVVORRQH5KWT3Q}

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	2026-06-25T01:18:01.020733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9642ebfff3c4e04856ae8c607eaad3dc3f52617b2070dae2b473f2c4a8c7e3eb

Aliases

arxiv: 2606.25288 · arxiv_version: 2606.25288v1 · doi: 10.48550/arxiv.2606.25288 · pith_short_12: SZBOX77TYTQE · pith_short_16: SZBOX77TYTQEQVVO · pith_short_8: SZBOX77T

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/SZBOX77TYTQEQVVORRQH5KWT3Q \
  | 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: 9642ebfff3c4e04856ae8c607eaad3dc3f52617b2070dae2b473f2c4a8c7e3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7e96ca7975fee140a56860a566947d1a6be135a6ad3bfcbda313e06c353e51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-24T01:47:06Z",
    "title_canon_sha256": "fffbc3c555f0a7ff5128312f455074542fa83efc1c8a2ee2739f41c315617ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25288",
    "kind": "arxiv",
    "version": 1
  }
}