Pith Number

pith:MC7XPAGA

pith:2016:MC7XPAGAJ3RA37QQSUF4ODO2VJ

not attested not anchored not stored refs pending

Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions

Adrian Muntean, Toyohiko Aiki

arxiv:1610.00224 v1 · 2016-10-02 · 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{MC7XPAGAJ3RA37QQSUF4ODO2VJ}

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	2026-05-18T01:03:31.577825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bf7780c04ee20dfe10950bc70ddaaa4227887216d53101f41d543c2295ae0d

Aliases

arxiv: 1610.00224 · arxiv_version: 1610.00224v1 · doi: 10.48550/arxiv.1610.00224 · pith_short_12: MC7XPAGAJ3RA · pith_short_16: MC7XPAGAJ3RA37QQ · pith_short_8: MC7XPAGA

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/MC7XPAGAJ3RA37QQSUF4ODO2VJ \
  | 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: 60bf7780c04ee20dfe10950bc70ddaaa4227887216d53101f41d543c2295ae0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b2d5254648c980e8c3262cd7c561cb07bbf40d71321d9b79f2e08c155d4214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-02T05:46:01Z",
    "title_canon_sha256": "ed1631854358b768f4e511b5f83602f17718b2d7bf5bb61716f20cefb6f05e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00224",
    "kind": "arxiv",
    "version": 1
  }
}