Pith Number

pith:ESUKBGA4

pith:2011:ESUKBGA4PTXWB6W7XRA44FKZZ3

not attested not anchored not stored refs pending

Langevin process reflected on a partially elastic boundary II

Emmanuel Jacob

arxiv:1103.2845 v1 · 2011-03-15 · 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{ESUKBGA4PTXWB6W7XRA44FKZZ3}

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	2026-05-18T04:26:46.412847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a8a0981c7cef60fadfbc41ce1559cee11e535093d7f71eb8310f3c8b15841a

Aliases

arxiv: 1103.2845 · arxiv_version: 1103.2845v1 · doi: 10.48550/arxiv.1103.2845 · pith_short_12: ESUKBGA4PTXW · pith_short_16: ESUKBGA4PTXWB6W7 · pith_short_8: ESUKBGA4

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/ESUKBGA4PTXWB6W7XRA44FKZZ3 \
  | 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: 24a8a0981c7cef60fadfbc41ce1559cee11e535093d7f71eb8310f3c8b15841a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8d9093019165827b59aa59ea7471f0670625ad2ab91e8c503d79d1d5d1dcb5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-15T05:22:37Z",
    "title_canon_sha256": "cd74b63710843d043d60aa39d618ae79514a509cb888515cd9d37cdf48f64164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2845",
    "kind": "arxiv",
    "version": 1
  }
}