Pith Number

pith:45LZWZPE

pith:2015:45LZWZPEOV5CUPNJT6XKPTJEXY

not attested not anchored not stored refs pending

Some Free Boundary Problems involving Nonlocal Diffusion and Aggregation

Jose Antonio Carrillo, Juan Luis Vazquez

arxiv:1501.04320 v1 · 2015-01-18 · 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{45LZWZPEOV5CUPNJT6XKPTJEXY}

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	2026-05-18T01:20:47.115027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7579b65e4757a2a3da99faea7cd24be2dd568895b4f1c5ae1d92403f97fba15

Aliases

arxiv: 1501.04320 · arxiv_version: 1501.04320v1 · doi: 10.48550/arxiv.1501.04320 · pith_short_12: 45LZWZPEOV5C · pith_short_16: 45LZWZPEOV5CUPNJ · pith_short_8: 45LZWZPE

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/45LZWZPEOV5CUPNJT6XKPTJEXY \
  | 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: e7579b65e4757a2a3da99faea7cd24be2dd568895b4f1c5ae1d92403f97fba15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b5da671357b9d0e7ff7635fc7bbf9994ef6bb1e8ffa22c3b27a5e3f2b11414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-18T16:03:44Z",
    "title_canon_sha256": "ab005f9e4a97564fb58d1066e885824ab2cdb937faf6229cc8606f9d943f82a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04320",
    "kind": "arxiv",
    "version": 1
  }
}