Pith Number

pith:K3FJYW3W

pith:2015:K3FJYW3WUT6IHFIFRN6P5Y7G6A

not attested not anchored not stored refs pending

Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant

Tobias Black

arxiv:1510.07173 v1 · 2015-10-24 · 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{K3FJYW3WUT6IHFIFRN6P5Y7G6A}

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	2026-05-18T01:12:07.687169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ca9c5b76a4fc8395058b7cfee3e6f019b802d6ef19c6b4b21746558f02989e

Aliases

arxiv: 1510.07173 · arxiv_version: 1510.07173v1 · doi: 10.48550/arxiv.1510.07173 · pith_short_12: K3FJYW3WUT6I · pith_short_16: K3FJYW3WUT6IHFIF · pith_short_8: K3FJYW3W

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/K3FJYW3WUT6IHFIFRN6P5Y7G6A \
  | 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: 56ca9c5b76a4fc8395058b7cfee3e6f019b802d6ef19c6b4b21746558f02989e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b609dfa23de1539879b1a26baa8c989ab8190547b22b21f24404460feeb3be64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-24T18:32:08Z",
    "title_canon_sha256": "f745ad6e08fb0b038aa61b70dfce9348a728b029712048a49261bb1d138a1887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07173",
    "kind": "arxiv",
    "version": 1
  }
}