Pith Number

pith:5DDV2TMH

pith:2011:5DDV2TMHPY55Q4VZKWZF2I33DJ

not attested not anchored not stored refs pending

Bounds for the state-modulated resolvent of a linear Boltzmann generator

Jeremy Clark, Lo\"ic Dubois

arxiv:1110.0689 v1 · 2011-10-04 · math-ph · math.MP · 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{5DDV2TMHPY55Q4VZKWZF2I33DJ}

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	2026-05-18T02:00:18.180899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c75d4d877e3bd872b955b25d237b1a66b8cd9780fdfcdbcd61f8bc98ed678c

Aliases

arxiv: 1110.0689 · arxiv_version: 1110.0689v1 · doi: 10.48550/arxiv.1110.0689 · pith_short_12: 5DDV2TMHPY55 · pith_short_16: 5DDV2TMHPY55Q4VZ · pith_short_8: 5DDV2TMH

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/5DDV2TMHPY55Q4VZKWZF2I33DJ \
  | 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: e8c75d4d877e3bd872b955b25d237b1a66b8cd9780fdfcdbcd61f8bc98ed678c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d84fe902235c6b54860d0cf38001b699c54633a3598072ad5b4c298c31de73",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-04T13:58:13Z",
    "title_canon_sha256": "cddf716790904bc2d5ba4cbe8b195ca328d4e5cbbd5e2cad4736e55c216be636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0689",
    "kind": "arxiv",
    "version": 1
  }
}