Pith Number

pith:E75S3OZE

pith:2013:E75S3OZELLB7TRWXDSTAMTPN23

not attested not anchored not stored refs pending

Spectral gap for stochastic energy exchange model with nonuniformly positive rate function

Makiko Sasada

arxiv:1305.4066 v3 · 2013-05-17 · 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{E75S3OZELLB7TRWXDSTAMTPN23}

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	2026-05-18T01:33:35.529487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27fb2dbb245ac3f9c6d71ca6064dedd6d6436274619ee6a896eb2836c22d0e59

Aliases

arxiv: 1305.4066 · arxiv_version: 1305.4066v3 · doi: 10.48550/arxiv.1305.4066 · pith_short_12: E75S3OZELLB7 · pith_short_16: E75S3OZELLB7TRWX · pith_short_8: E75S3OZE

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/E75S3OZELLB7TRWXDSTAMTPN23 \
  | 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: 27fb2dbb245ac3f9c6d71ca6064dedd6d6436274619ee6a896eb2836c22d0e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae2d95b43fd8dc1ba293b49d59367aa2dcd22b4d8904e93e66aae1255b00d3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-17T13:13:49Z",
    "title_canon_sha256": "b3783696202c859ed57dd62aeb1661769a8433ea1b73c04b06c7dd5f7af40048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4066",
    "kind": "arxiv",
    "version": 3
  }
}