Pith Number

pith:PIR5XLFB

pith:2016:PIR5XLFBXQNQZ3THYQVNXXFSGF

not attested not anchored not stored refs pending

Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption

Johannes Lankeit, Yulan Wang

arxiv:1608.07991 v1 · 2016-08-29 · 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{PIR5XLFBXQNQZ3THYQVNXXFSGF}

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	2026-05-18T01:07:49.444549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a23dbaca1bc1b0cee67c42adbdcb2317c5def0e261376d6d738f601a477f325

Aliases

arxiv: 1608.07991 · arxiv_version: 1608.07991v1 · doi: 10.48550/arxiv.1608.07991 · pith_short_12: PIR5XLFBXQNQ · pith_short_16: PIR5XLFBXQNQZ3TH · pith_short_8: PIR5XLFB

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/PIR5XLFBXQNQZ3THYQVNXXFSGF \
  | 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: 7a23dbaca1bc1b0cee67c42adbdcb2317c5def0e261376d6d738f601a477f325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a59ead340e7f4de408b96d6c72c492f8cd9e5c49e53549e41a5e0b4a6979e2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-29T10:52:40Z",
    "title_canon_sha256": "2423fa9a42cad260cf13a4d5957df8286c866b880add83b9e3f0c41cb7040c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07991",
    "kind": "arxiv",
    "version": 1
  }
}