Pith Number

pith:7B2XQNI3

pith:2017:7B2XQNI3KVT6ZD5TP46BJMKNUK

not attested not anchored not stored refs pending

Carleman estimates for the time-fractional advection-diffusion equations and applications

Masahiro Yamamoto, Xinchi Huang, Zhiyuan Li

arxiv:1704.06011 v1 · 2017-04-20 · 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{7B2XQNI3KVT6ZD5TP46BJMKNUK}

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	2026-05-17T23:48:46.120731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87578351b5567ec8fb37f3c14b14da2a5b04a5fe26dfb26c63ace0e0c69aae0

Aliases

arxiv: 1704.06011 · arxiv_version: 1704.06011v1 · doi: 10.48550/arxiv.1704.06011 · pith_short_12: 7B2XQNI3KVT6 · pith_short_16: 7B2XQNI3KVT6ZD5T · pith_short_8: 7B2XQNI3

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/7B2XQNI3KVT6ZD5TP46BJMKNUK \
  | 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: f87578351b5567ec8fb37f3c14b14da2a5b04a5fe26dfb26c63ace0e0c69aae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6abc07c535f1ad9fc57b4bacf52c6471bc7d5f1da29512fd6d019ae5b2c98ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-20T04:50:13Z",
    "title_canon_sha256": "0808643bba1474621f66b3f49fd6cd05cd1911ff22ac8e546e775b57370d327f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06011",
    "kind": "arxiv",
    "version": 1
  }
}