Pith Number

pith:QNGDFW56

pith:2013:QNGDFW566AYNRGSZ55ZMPORRQ4

not attested not anchored not stored refs pending

Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity

Qi Wang

arxiv:1312.0252 v2 · 2013-12-01 · 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{QNGDFW566AYNRGSZ55ZMPORRQ4}

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	2026-05-18T02:03:48.584603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834c32dbbef030d89a59ef72c7ba318715e6df68d6e91d0817aa9b825f6ac006

Aliases

arxiv: 1312.0252 · arxiv_version: 1312.0252v2 · doi: 10.48550/arxiv.1312.0252 · pith_short_12: QNGDFW566AYN · pith_short_16: QNGDFW566AYNRGSZ · pith_short_8: QNGDFW56

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/QNGDFW566AYNRGSZ55ZMPORRQ4 \
  | 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: 834c32dbbef030d89a59ef72c7ba318715e6df68d6e91d0817aa9b825f6ac006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbe582a08f35b7b5df57da3243dc0a03095eedba3ec82823707df0ef6e2a4062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-01T17:35:14Z",
    "title_canon_sha256": "b13c369f6fe906dddcb09e04f765e3bbc639e3de92e4090368a664602232df67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0252",
    "kind": "arxiv",
    "version": 2
  }
}