Pith Number

pith:6TBCCEB5

pith:2026:6TBCCEB5EQKGALOAAYVENPWFEQ

not attested not anchored not stored refs pending

Global existence and boundedness for a degenerate chemotaxis system with indirect signal production via minimizing movement schemes

Philippe Lauren{\cc}ot (LAMA), Tatsuya Hosono (OMU)

arxiv:2607.21211 v1 · 2026-07-23 · 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{6TBCCEB5EQKGALOAAYVENPWFEQ}

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	2026-07-24T01:24:19.179853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c221103d2414602dc0062a46bec52421cc5a67a76b47f120c28d2f57b20689

Aliases

arxiv: 2607.21211 · arxiv_version: 2607.21211v1 · doi: 10.48550/arxiv.2607.21211 · pith_short_12: 6TBCCEB5EQKG · pith_short_16: 6TBCCEB5EQKGALOA · pith_short_8: 6TBCCEB5

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/6TBCCEB5EQKGALOAAYVENPWFEQ \
  | 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: f4c221103d2414602dc0062a46bec52421cc5a67a76b47f120c28d2f57b20689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7a8d21e82c6a45460b2d621b419a6038eb11cbd08ad44e5fed6cc27b90a758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-23T11:23:51Z",
    "title_canon_sha256": "b5bd6da23f9b84e386cdbc39b4ef78163dd6a14775445fe829c53821ed1bbf35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21211",
    "kind": "arxiv",
    "version": 1
  }
}