Pith Number

pith:TYZ6YDNY

pith:2014:TYZ6YDNYWMLZKDZ5MLM75SBFAV

not attested not anchored not stored refs pending

Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

Johannes Lankeit

arxiv:1407.5085 v1 · 2014-07-18 · 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{TYZ6YDNYWMLZKDZ5MLM75SBFAV}

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	2026-05-18T02:47:22.025781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e33ec0db8b317950f3d62d9fec8250576330a0ad613028774ab506552f045df

Aliases

arxiv: 1407.5085 · arxiv_version: 1407.5085v1 · doi: 10.48550/arxiv.1407.5085 · pith_short_12: TYZ6YDNYWMLZ · pith_short_16: TYZ6YDNYWMLZKDZ5 · pith_short_8: TYZ6YDNY

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/TYZ6YDNYWMLZKDZ5MLM75SBFAV \
  | 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: 9e33ec0db8b317950f3d62d9fec8250576330a0ad613028774ab506552f045df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4d365e056d48cfab8daa4c0c16c2490163c0441ba9596c017b3ab76a238a82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-18T19:25:12Z",
    "title_canon_sha256": "61c5527e0a24189a82fe694589e47e4882beb6bdbf8211f334e2d7fba1011eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5085",
    "kind": "arxiv",
    "version": 1
  }
}