Pith Number

pith:OUJYOZ5V

pith:2016:OUJYOZ5VQ57ZSWM7HIOAVTZKSC

not attested not anchored not stored refs pending

Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics

B. Volzone, J. A. Carrillo, S. Hittmeir, Y. Yao

arxiv:1603.07767 v3 · 2016-03-24 · 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{OUJYOZ5VQ57ZSWM7HIOAVTZKSC}

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	2026-07-05T04:40:41.228885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75138767b5877f99599f3a1c0acf2a90bcbed23d549f664a385258ca2ad0e535

Aliases

arxiv: 1603.07767 · arxiv_version: 1603.07767v3 · doi: 10.48550/arxiv.1603.07767 · pith_short_12: OUJYOZ5VQ57Z · pith_short_16: OUJYOZ5VQ57ZSWM7 · pith_short_8: OUJYOZ5V

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/OUJYOZ5VQ57ZSWM7HIOAVTZKSC \
  | 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: 75138767b5877f99599f3a1c0acf2a90bcbed23d549f664a385258ca2ad0e535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52e341063966096ead7989ed3ab6dea2f940e0f04a57711025512190c211be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-24T22:14:43Z",
    "title_canon_sha256": "4a35b4da7aa59df71b42ce5e97d4b182cd5f50ddb13d994f695d1c979f478173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07767",
    "kind": "arxiv",
    "version": 3
  }
}