Pith Number

pith:6KDK5YVU

pith:2015:6KDK5YVU6PPKZQJ2N2X3UMODU2

not attested not anchored not stored refs pending

The initial configuration is irrelevant for the possibility of mutual unbounded growth in the two-type Richardson model

Maria Deijfen, Olle H\"aggstr\"om

arxiv:1509.06964 v1 · 2015-09-23 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KDK5YVU6PPKZQJ2N2X3UMODU2}

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	2026-05-18T01:32:17.390287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f286aee2b4f3deacc13a6eafba31c3a6a8547843945931f056829a5fbf017a10

Aliases

arxiv: 1509.06964 · arxiv_version: 1509.06964v1 · doi: 10.48550/arxiv.1509.06964 · pith_short_12: 6KDK5YVU6PPK · pith_short_16: 6KDK5YVU6PPKZQJ2 · pith_short_8: 6KDK5YVU

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/6KDK5YVU6PPKZQJ2N2X3UMODU2 \
  | 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: f286aee2b4f3deacc13a6eafba31c3a6a8547843945931f056829a5fbf017a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a971f01f4a2731cd8e3b65c1587e876d54eba21f31a24474ba439ef06b0b3eea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-23T13:21:47Z",
    "title_canon_sha256": "06ea0543ae625c7b72154037fc5613cd9347263dc9e17f652575e580e37d8ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06964",
    "kind": "arxiv",
    "version": 1
  }
}