Pith Number

pith:M4DL7CPJ

pith:2019:M4DL7CPJT3LUNCW5TNJOVYC2C7

not attested not anchored not stored refs pending

A free boundary problem for spreading under shifting climate

Xianfa Song, Xinan Hao, Yihong Du, Yuanyang Hu

arxiv:1908.04041 v1 · 2019-08-12 · 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{M4DL7CPJT3LUNCW5TNJOVYC2C7}

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	2026-07-04T23:53:20.218630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6706bf89e99ed7468add9b52eae05a17c87b44a64b8fb1d2039a62ae436b8fd7

Aliases

arxiv: 1908.04041 · arxiv_version: 1908.04041v1 · doi: 10.48550/arxiv.1908.04041 · pith_short_12: M4DL7CPJT3LU · pith_short_16: M4DL7CPJT3LUNCW5 · pith_short_8: M4DL7CPJ

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/M4DL7CPJT3LUNCW5TNJOVYC2C7 \
  | 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: 6706bf89e99ed7468add9b52eae05a17c87b44a64b8fb1d2039a62ae436b8fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4604bb9480fd3c9324dbf2d36b10b1b0ae62a7a4894d5ba831a8445f8ebd2c0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-12T08:03:14Z",
    "title_canon_sha256": "d2cb78111ee98cbc7063a36d2431d5c7fbb6d2fad2df173cdcd24683a0b0473e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04041",
    "kind": "arxiv",
    "version": 1
  }
}