Pith Number

pith:DM64JAYR

pith:2017:DM64JAYRZAYIE7U6KMLJZSDYFE

not attested not anchored not stored refs pending

Boundedness of solution of a parabolic--ODE--parabolic chemotaxis--haptotaxis model with (generalized) logistic source

Jiashan Zheng

arxiv:1711.10048 v2 · 2017-11-27 · 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{DM64JAYRZAYIE7U6KMLJZSDYFE}

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	2026-05-18T00:02:28.100039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3dc48311c830827e9e53169cc878293528e82425a86a4147b60274d0c196ec

Aliases

arxiv: 1711.10048 · arxiv_version: 1711.10048v2 · doi: 10.48550/arxiv.1711.10048 · pith_short_12: DM64JAYRZAYI · pith_short_16: DM64JAYRZAYIE7U6 · pith_short_8: DM64JAYR

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/DM64JAYRZAYIE7U6KMLJZSDYFE \
  | 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: 1b3dc48311c830827e9e53169cc878293528e82425a86a4147b60274d0c196ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65daf43bfda1634db9e7cb26e58f5d2a027e11f92485182865cf11c90fa461d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-27T23:49:56Z",
    "title_canon_sha256": "69d5dda33744fad3fbf311f144d14f97e1cb93752514667b7a9b2564a8d2a0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10048",
    "kind": "arxiv",
    "version": 2
  }
}