Pith Number

pith:ZMQE4L5C

pith:2006:ZMQE4L5CR7AY6FT46GUTSWNEYG

not attested not anchored not stored refs pending

Large deviations bound for semiflows over a non-uniformly expanding base

Vitor Araujo

arxiv:math/0607771 v6 · 2006-07-29 · math.DS · 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{ZMQE4L5CR7AY6FT46GUTSWNEYG}

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	2026-05-18T04:41:44.343059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb204e2fa28fc18f167cf1a93959a4c1bec87f766640310779f7b0435d2b5cb7

Aliases

arxiv: math/0607771 · arxiv_version: math/0607771v6 · doi: 10.48550/arxiv.math/0607771 · pith_short_12: ZMQE4L5CR7AY · pith_short_16: ZMQE4L5CR7AY6FT4 · pith_short_8: ZMQE4L5C

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/ZMQE4L5CR7AY6FT46GUTSWNEYG \
  | 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: cb204e2fa28fc18f167cf1a93959a4c1bec87f766640310779f7b0435d2b5cb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e6843126b81aba22c4b2d6c0382673cb1cdb627cc540614293e216e060c793",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-07-29T22:05:21Z",
    "title_canon_sha256": "00d35ebddef8b85101687cdc3a5ee8bb029f6d5e198c25401e28a4998bbb8ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607771",
    "kind": "arxiv",
    "version": 6
  }
}