Pith Number

pith:XYK3RVAT

pith:2025:XYK3RVAT3PJAXA6YKTOPO2TVTF

not attested not anchored not stored refs pending

Critical mass for finite-time chemotactic collapse in the critical dimension via comparison

Meng Liu, Xuan Mao, Yuxiang Li

arxiv:2505.14278 v1 · 2025-05-20 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYK3RVAT3PJAXA6YKTOPO2TVTF}

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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

Mass threshold for global existence in chemotaxis systems with critical flux limitation

Receipt and verification

First computed	2026-07-05T11:05:58.780764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be15b8d413dbd20b83d854dcf76a75995de5385c8c8356330a30d4cc1e75dcf9

Aliases

arxiv: 2505.14278 · arxiv_version: 2505.14278v1 · doi: 10.48550/arxiv.2505.14278 · pith_short_12: XYK3RVAT3PJA · pith_short_16: XYK3RVAT3PJAXA6Y · pith_short_8: XYK3RVAT

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/XYK3RVAT3PJAXA6YKTOPO2TVTF \
  | 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: be15b8d413dbd20b83d854dcf76a75995de5385c8c8356330a30d4cc1e75dcf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96db07c08ae15d66214aea9886c71a9b6e35afb693b87bcde90ef62d530eb482",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-20T12:29:26Z",
    "title_canon_sha256": "022d2095f9420535e4ffb16dfa2f438d3768eb599abb92b7f83fd3c0456f37a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14278",
    "kind": "arxiv",
    "version": 1
  }
}