Pith Number

pith:52LP55NZ

pith:2015:52LP55NZ4D4ZF73N5NOYLXH7QM

not attested not anchored not stored refs pending

Sharp thresholds between finite spread and uniform convergence for a reaction-diffusion equation with oscillating initial data

Fran\c{c}ois Hamel (I2M), Thomas Giletti (IECN)

arxiv:1510.06556 v1 · 2015-10-22 · 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{52LP55NZ4D4ZF73N5NOYLXH7QM}

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	2026-05-18T01:29:30.635390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee96fef5b9e0f992ff6deb5d85dcff832effbae71cdc4950219d2e0b641bfc94

Aliases

arxiv: 1510.06556 · arxiv_version: 1510.06556v1 · doi: 10.48550/arxiv.1510.06556 · pith_short_12: 52LP55NZ4D4Z · pith_short_16: 52LP55NZ4D4ZF73N · pith_short_8: 52LP55NZ

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/52LP55NZ4D4ZF73N5NOYLXH7QM \
  | 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: ee96fef5b9e0f992ff6deb5d85dcff832effbae71cdc4950219d2e0b641bfc94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d7c9939df85d5fae3300d03bd1718e716329281a50673c1a3e5c4ab03f0588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-22T09:47:09Z",
    "title_canon_sha256": "aff36928ce98b1a5f15f87431ba02493dc6834123dd47682e41b163dc2e9fc8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06556",
    "kind": "arxiv",
    "version": 1
  }
}