Pith Number

pith:I6DYGOUN

pith:2024:I6DYGOUNCUSBPPHHMKOD4G4IPE

not attested not anchored not stored refs pending

Nonsymmetric traveling wave solution to a Hele-Shaw type tumor growth model

Jian-Guo Liu, Qingyou He, Yu Feng, Zhennan Zhou

arxiv:2404.16353 v2 · 2024-04-25 · 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{I6DYGOUNCUSBPPHHMKOD4G4IPE}

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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.

Cited by

1 paper in Pith

Hele-Shaw limit of chemotaxis-Navier-Stokes flows

Receipt and verification

First computed	2026-07-05T11:00:58.899259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4787833a8d152417bce7629c3e1b88791beeb9668120a5b44cf0e1db9cd39105

Aliases

arxiv: 2404.16353 · arxiv_version: 2404.16353v2 · doi: 10.48550/arxiv.2404.16353 · pith_short_12: I6DYGOUNCUSB · pith_short_16: I6DYGOUNCUSBPPHH · pith_short_8: I6DYGOUN

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/I6DYGOUNCUSBPPHHMKOD4G4IPE \
  | 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: 4787833a8d152417bce7629c3e1b88791beeb9668120a5b44cf0e1db9cd39105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36021d6b1e7fc2f65f3986c2e010c3167dd567ddc8ebfa10921db7d53cd6d4f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-04-25T06:11:59Z",
    "title_canon_sha256": "ea172e8c26a8bfc9501733f7157ba635f0d3edce9bfc56121d73c64e3ea012ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.16353",
    "kind": "arxiv",
    "version": 2
  }
}