Pith Number

pith:7VLJHF22

pith:2013:7VLJHF22QWWJRQII5H2GNXBJOS

not attested not anchored not stored refs pending

Weak noise and non-hyperbolic unstable fixed points: Sharp estimates on transit and exit times

Giambattista Giacomin, Mathieu Merle

arxiv:1307.4255 v3 · 2013-07-16 · math.PR · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VLJHF22QWWJRQII5H2GNXBJOS}

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	2026-05-18T01:31:53.526001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5693975a85ac98c108e9f466dc29748baf2596cc2f53a4ff3c9818ae050ef2

Aliases

arxiv: 1307.4255 · arxiv_version: 1307.4255v3 · doi: 10.48550/arxiv.1307.4255 · pith_short_12: 7VLJHF22QWWJ · pith_short_16: 7VLJHF22QWWJRQII · pith_short_8: 7VLJHF22

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/7VLJHF22QWWJRQII5H2GNXBJOS \
  | 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: fd5693975a85ac98c108e9f466dc29748baf2596cc2f53a4ff3c9818ae050ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6d92f855ba8cd2b4d739687095dece9d3c40fc0e7c901d65428c6e1b72d1fa",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-16T12:15:12Z",
    "title_canon_sha256": "11bbfa6534416c4e40a81edb896eefc7f4b2a5e17e93ab536c07a701e04408f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4255",
    "kind": "arxiv",
    "version": 3
  }
}