Pith Number

pith:TC2AK3EU

pith:2019:TC2AK3EUU77WYX6JOS2U6YSAYJ

not attested not anchored not stored refs pending

Explicit lower bound of blow--up time for an attraction--repulsion chemotaxis system

Giuseppe Viglialoro

arxiv:1903.08196 v1 · 2019-03-19 · 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{TC2AK3EUU77WYX6JOS2U6YSAYJ}

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	2026-05-17T23:50:50.089726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b4056c94a7ff6c5fc974b54f6240c2589a42dc449cfba82c72b8e45787ae09

Aliases

arxiv: 1903.08196 · arxiv_version: 1903.08196v1 · doi: 10.48550/arxiv.1903.08196 · pith_short_12: TC2AK3EUU77W · pith_short_16: TC2AK3EUU77WYX6J · pith_short_8: TC2AK3EU

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/TC2AK3EUU77WYX6JOS2U6YSAYJ \
  | 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: 98b4056c94a7ff6c5fc974b54f6240c2589a42dc449cfba82c72b8e45787ae09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6702f23d3b7f00b2c4d250bca09f40bf6ab9fd9a50ffe15e33bc98dc0be0e7c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-19T18:15:50Z",
    "title_canon_sha256": "80ff62564f56b4b168eae6d24a5fdf656ba3b5c8c4457ef3c84c7612adfc5d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08196",
    "kind": "arxiv",
    "version": 1
  }
}