Pith Number

pith:63ATWAE7

pith:2022:63ATWAE7NYI76NB4ABDODZRZPZ

not attested not anchored not stored refs pending

On the upper tail large deviation rate function for chemical distance in supercritical percolation

Barbara Dembin, Shuta Nakajima

arxiv:2211.02605 v2 · 2022-11-04 · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63ATWAE7NYI76NB4ABDODZRZPZ}

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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.

Cited by

1 paper in Pith

Large deviation principle at speed $n$ for the random metric in first-passage percolation

Receipt and verification

First computed	2026-07-05T05:59:41.292861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c13b009f6e11ff343c0046e1e6397e7132f613b72cdc114ac920ba89f565a7

Aliases

arxiv: 2211.02605 · arxiv_version: 2211.02605v2 · doi: 10.48550/arxiv.2211.02605 · pith_short_12: 63ATWAE7NYI7 · pith_short_16: 63ATWAE7NYI76NB4 · pith_short_8: 63ATWAE7

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/63ATWAE7NYI76NB4ABDODZRZPZ \
  | 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: f6c13b009f6e11ff343c0046e1e6397e7132f613b72cdc114ac920ba89f565a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a15bbc156d1f15463b3f1f97e3da89179b7574fae9c54c14e3f05cf82d2c7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-04T17:19:51Z",
    "title_canon_sha256": "62bf98bc5dbf5dc627658a59bd3a2657e65af3da7521fd173de6e12fd3662129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02605",
    "kind": "arxiv",
    "version": 2
  }
}