Pith Number

pith:XFDZTZ63

pith:2013:XFDZTZ63Y57J4N3XEXNS2T4LLM

not attested not anchored not stored refs pending

Logarithmic scaling of the collapse in the critical Keller-Segel equation

Natalia Vladimirova, Pavel M. Lushnikov, Sergey A. Dyachenko

arxiv:1301.5604 v1 · 2013-01-23 · nlin.PS · math.AP · nlin.SI · physics.bio-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFDZTZ63Y57J4N3XEXNS2T4LLM}

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	2026-05-18T01:51:59.295660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94799e7dbc77e9e377725db2d4f8b5b227d74150301c289b6481f93efb545d1

Aliases

arxiv: 1301.5604 · arxiv_version: 1301.5604v1 · doi: 10.48550/arxiv.1301.5604 · pith_short_12: XFDZTZ63Y57J · pith_short_16: XFDZTZ63Y57J4N3X · pith_short_8: XFDZTZ63

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/XFDZTZ63Y57J4N3XEXNS2T4LLM \
  | 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: b94799e7dbc77e9e377725db2d4f8b5b227d74150301c289b6481f93efb545d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762d6f9246b44362a3a2e398e8a5c3df72b602e8d49761162d9743aef73cb73d",
    "cross_cats_sorted": [
      "math.AP",
      "nlin.SI",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2013-01-23T19:11:49Z",
    "title_canon_sha256": "3d67b466eaf7fb484eb0ae45d846fd92db20e55db769ec7e3594907bfa3e33f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5604",
    "kind": "arxiv",
    "version": 1
  }
}