Pith Number

pith:ISH7DXFI

pith:2019:ISH7DXFISYWMX5JOI3ND4JUALZ

not attested not anchored not stored refs pending

Asymptotic behavior of solutions to a tumor angiogenesis model with chemotaxis--haptotaxis

Peter Y.H.Pang, Yifu Wang

arxiv:1903.10835 v1 · 2019-03-26 · 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{ISH7DXFISYWMX5JOI3ND4JUALZ}

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	2026-05-17T23:50:17.598617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448ff1dca8962ccbf52e46da3e26805e599e06053d2f111bdd366fb6305eb9c5

Aliases

arxiv: 1903.10835 · arxiv_version: 1903.10835v1 · doi: 10.48550/arxiv.1903.10835 · pith_short_12: ISH7DXFISYWM · pith_short_16: ISH7DXFISYWMX5JO · pith_short_8: ISH7DXFI

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/ISH7DXFISYWMX5JOI3ND4JUALZ \
  | 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: 448ff1dca8962ccbf52e46da3e26805e599e06053d2f111bdd366fb6305eb9c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774a1ea9fcfb1ba8d4ae383c35c977043de366200939988e9dadc79653a89c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-26T12:35:40Z",
    "title_canon_sha256": "25ffb6b00006c21ba28396ae0afa21923c001b1dd06653530d6e1937b6c89bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10835",
    "kind": "arxiv",
    "version": 1
  }
}