Pith Number

pith:HHF75CVR

pith:2017:HHF75CVRSGPXFQO2DR4P2ZZ6B4

not attested not anchored not stored refs pending

Asymptotic spreading speed for the weak competition system with a free boundary

Hua Nie, Yihong Du, Zhiguo Wang

arxiv:1710.05485 v1 · 2017-10-16 · 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{HHF75CVRSGPXFQO2DR4P2ZZ6B4}

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	2026-05-18T00:32:49.213195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39cbfe8ab1919f72c1da1c78fd673e0f1932e5eac95dbb688e846a0f51692a15

Aliases

arxiv: 1710.05485 · arxiv_version: 1710.05485v1 · doi: 10.48550/arxiv.1710.05485 · pith_short_12: HHF75CVRSGPX · pith_short_16: HHF75CVRSGPXFQO2 · pith_short_8: HHF75CVR

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/HHF75CVRSGPXFQO2DR4P2ZZ6B4 \
  | 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: 39cbfe8ab1919f72c1da1c78fd673e0f1932e5eac95dbb688e846a0f51692a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1e25e0158ed02d49066d48c9548f6c1af42d7d9ea48cd053d56d37e0a7879d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-16T03:12:47Z",
    "title_canon_sha256": "7acd43a72552df34469983ed9d4ca423bf9fbc72c682c57b95ef14e12a95b3f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05485",
    "kind": "arxiv",
    "version": 1
  }
}