Pith Number

pith:T3VNDCW5

pith:2019:T3VNDCW5KKUXLSZNSEZZTXHURG

not attested not anchored not stored refs pending

A refined criterion and lower bounds for the blow--up time in a parabolic--elliptic chemotaxis system with nonlinear diffusion

Giuseppe Viglialoro, Monica Marras, Teruto Nishino

arxiv:1904.03856 v1 · 2019-04-08 · 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{T3VNDCW5KKUXLSZNSEZZTXHURG}

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	2026-05-17T23:49:07.931223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eead18add52a975cb2d913399dcf489be132bafa4ca3d6f58ff980ea568297f

Aliases

arxiv: 1904.03856 · arxiv_version: 1904.03856v1 · doi: 10.48550/arxiv.1904.03856 · pith_short_12: T3VNDCW5KKUX · pith_short_16: T3VNDCW5KKUXLSZN · pith_short_8: T3VNDCW5

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/T3VNDCW5KKUXLSZNSEZZTXHURG \
  | 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: 9eead18add52a975cb2d913399dcf489be132bafa4ca3d6f58ff980ea568297f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f9c6b7115ea760488085633cd5c47cf334440a9da83e4d15e996b851dad9f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-08T06:09:00Z",
    "title_canon_sha256": "694c9befa587cf6a0accd89b79657fd6bb15b60684c648296ddc26def03d72b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03856",
    "kind": "arxiv",
    "version": 1
  }
}