Pith. sign in
Pith Number

pith:64MWF6DG

pith:2005:64MWF6DG6PPSX23PFTUF4LTWOH
not attested not anchored not stored refs pending

An annihilating--branching particle model for the heat equation with average temperature zero

Jeremy Quastel, Krzysztof Burdzy

arxiv:math/0503395 v4 · 2005-03-19 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{64MWF6DG6PPSX23PFTUF4LTWOH}

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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 2026-07-04T14:59:45.634269Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f71962f866f3df2beb6f2ce85e2e7671d5935085e654002c3b2ca805f5cfafbd

Aliases

arxiv: math/0503395 · arxiv_version: math/0503395v4 · doi: 10.48550/arxiv.math/0503395 · pith_short_12: 64MWF6DG6PPS · pith_short_16: 64MWF6DG6PPSX23P · pith_short_8: 64MWF6DG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/64MWF6DG6PPSX23PFTUF4LTWOH \
  | 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: f71962f866f3df2beb6f2ce85e2e7671d5935085e654002c3b2ca805f5cfafbd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b5d9b12e6ee185c0e1ae242cf6351b26bff4217213579a4e37c8451f9a4a55fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-19T05:02:15Z",
    "title_canon_sha256": "d243d06c9ee4307927a2daee7bbc38aeda5da44c5ed16bede770ff494e4d7483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503395",
    "kind": "arxiv",
    "version": 4
  }
}