Pith Number

pith:2TWCXUND

pith:2026:2TWCXUNDMKSVF65HHG3OWYHEQS

not attested not anchored not stored refs pending

Bilinear control of age--space structured populations

Jiguang Yu, Louis Shuo Wang

arxiv:2607.01347 v1 · 2026-07-01 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TWCXUNDMKSVF65HHG3OWYHEQS}

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	2026-07-03T00:16:58.012732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ec2bd1a362a552fba739b6eb60e484b39f74ae9084c7b8e928f3fffa46b5b8

Aliases

arxiv: 2607.01347 · arxiv_version: 2607.01347v1 · doi: 10.48550/arxiv.2607.01347 · pith_short_12: 2TWCXUNDMKSV · pith_short_16: 2TWCXUNDMKSVF65H · pith_short_8: 2TWCXUND

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/2TWCXUNDMKSVF65HHG3OWYHEQS \
  | 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: d4ec2bd1a362a552fba739b6eb60e484b39f74ae9084c7b8e928f3fffa46b5b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4069b0dd17a8270806902676bb9277e8a42e04f02e86e91b1ee95361b5e9dfa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-01T18:05:22Z",
    "title_canon_sha256": "319051fa92a187f51d73e9a8d7341742cac1850b3c07a03dcfa210d87200f334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01347",
    "kind": "arxiv",
    "version": 1
  }
}