Pith Number

pith:VOHAM2J5

pith:2017:VOHAM2J5NME5YKJFTOZTTOB6L4

not attested not anchored not stored refs pending

Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system

Johannes Lankeit

arxiv:1710.09157 v1 · 2017-10-25 · 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{VOHAM2J5NME5YKJFTOZTTOB6L4}

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	2026-05-18T00:32:00.217279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8e06693d6b09dc29259bb339b83e5f1a4615370b1c486514458928d6eac505

Aliases

arxiv: 1710.09157 · arxiv_version: 1710.09157v1 · doi: 10.48550/arxiv.1710.09157 · pith_short_12: VOHAM2J5NME5 · pith_short_16: VOHAM2J5NME5YKJF · pith_short_8: VOHAM2J5

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/VOHAM2J5NME5YKJFTOZTTOB6L4 \
  | 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: ab8e06693d6b09dc29259bb339b83e5f1a4615370b1c486514458928d6eac505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabe800cf44dbcf5695d767d2d5b34d06fbf8964004d0255521c240382fe24e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-25T10:32:03Z",
    "title_canon_sha256": "015075c428404c472a6e95d461a0a559d8f0bbe9e7fb2c1b58a3d82e3e35e4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09157",
    "kind": "arxiv",
    "version": 1
  }
}