Pith Number

pith:YK4D2LGN

pith:2026:YK4D2LGNJSGGMFG3D7L3NIG2PA

not attested not anchored not stored refs pending

Endogenous Feedback in Size-Structured Transport Equations

Jiguang Yu, Louis Shuo Wang

arxiv:2607.02877 v1 · 2026-07-03 · math.AP · 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{YK4D2LGNJSGGMFG3D7L3NIG2PA}

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	2026-07-07T01:16:35.117447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b83d2ccd4c8c6614db1fd7b6a0da7826236198a85bf5638c37be35c7cc80bc

Aliases

arxiv: 2607.02877 · arxiv_version: 2607.02877v1 · doi: 10.48550/arxiv.2607.02877 · pith_short_12: YK4D2LGNJSGG · pith_short_16: YK4D2LGNJSGGMFG3 · pith_short_8: YK4D2LGN

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/YK4D2LGNJSGGMFG3D7L3NIG2PA \
  | 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: c2b83d2ccd4c8c6614db1fd7b6a0da7826236198a85bf5638c37be35c7cc80bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa2cb8d425f74deaf6262289894cba9dee46f4945f10ebf97cb9947a26c38dc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-03T02:23:00Z",
    "title_canon_sha256": "74fc2e8802df4dbe3c4a98e391baf68acc5608d523ff0b4ebd355d4823226d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02877",
    "kind": "arxiv",
    "version": 1
  }
}