Pith Number

pith:S45C6ZT4

pith:2017:S45C6ZT4A5JKG62EFLBXLAJIYU

not attested not anchored not stored refs pending

Singular sensitivity in a Keller-Segel-fluid system

Johannes Lankeit, Masaaki Mizukami, Tobias Black

arxiv:1707.05528 v1 · 2017-07-18 · 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{S45C6ZT4A5JKG62EFLBXLAJIYU}

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	2026-05-18T00:40:02.088206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973a2f667c0752a37b442ac3758128c50dc0ac09bd61d13608db6e76554da381

Aliases

arxiv: 1707.05528 · arxiv_version: 1707.05528v1 · doi: 10.48550/arxiv.1707.05528 · pith_short_12: S45C6ZT4A5JK · pith_short_16: S45C6ZT4A5JKG62E · pith_short_8: S45C6ZT4

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/S45C6ZT4A5JKG62EFLBXLAJIYU \
  | 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: 973a2f667c0752a37b442ac3758128c50dc0ac09bd61d13608db6e76554da381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd5ab04ba6a2d9ecb06fa367d4bdf85fc1f95dc72cec9d79592e742577f7c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-18T09:01:51Z",
    "title_canon_sha256": "0eba133bbaf6760accf9f7e9ce550621653f17fdd03dd934c5cd0221f1505f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05528",
    "kind": "arxiv",
    "version": 1
  }
}