Pith Number

pith:AWTAHQED

pith:2009:AWTAHQEDOLKA2T5ZS2PZQLK7Y4

not attested not anchored not stored refs pending

The two-type continuum Richardson model: Non-dependence of the survival of both types on the initial configuration

Sebastian Carstens, Thomas Richthammer

arxiv:0908.1551 v2 · 2009-08-11 · 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{AWTAHQEDOLKA2T5ZS2PZQLK7Y4}

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	2026-05-18T04:41:15.412166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a603c08372d40d4fb9969f982d5fc7245df1423449e25b8b5f291f271d0502

Aliases

arxiv: 0908.1551 · arxiv_version: 0908.1551v2 · doi: 10.48550/arxiv.0908.1551 · pith_short_12: AWTAHQEDOLKA · pith_short_16: AWTAHQEDOLKA2T5Z · pith_short_8: AWTAHQED

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/AWTAHQEDOLKA2T5ZS2PZQLK7Y4 \
  | 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: 05a603c08372d40d4fb9969f982d5fc7245df1423449e25b8b5f291f271d0502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2577bc3593f05515eed48f7c17bdbe457a4cee1bcda419ab344b8dd7ec60043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-11T17:56:24Z",
    "title_canon_sha256": "5e408d082fe054df1b06ed2ab6504114479557392de0b2491ecfa8c53a3fe5fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1551",
    "kind": "arxiv",
    "version": 2
  }
}