Pith Number

pith:CIQRXCI2

pith:2013:CIQRXCI2EHARG4A6S5ONHQAMTE

not attested not anchored not stored refs pending

An inclination lemma for normally hyperbolic manifolds with an application to diffusion

Lara Sabbagh

arxiv:1302.4311 v1 · 2013-02-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIQRXCI2EHARG4A6S5ONHQAMTE}

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	2026-05-18T02:47:31.897245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12211b891a21c113701e975cd3c00c991c7f78b26487a65929962596b3de0150

Aliases

arxiv: 1302.4311 · arxiv_version: 1302.4311v1 · doi: 10.48550/arxiv.1302.4311 · pith_short_12: CIQRXCI2EHAR · pith_short_16: CIQRXCI2EHARG4A6 · pith_short_8: CIQRXCI2

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/CIQRXCI2EHARG4A6S5ONHQAMTE \
  | 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: 12211b891a21c113701e975cd3c00c991c7f78b26487a65929962596b3de0150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcd4ebad6713888a9f5e3b8118c45883e97c875c59164bfbcc4f2aa6b795713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-18T15:24:32Z",
    "title_canon_sha256": "4381f97efdbfef1c43bfe07a087eee8bf9fb1a11f61529334982b1bc0ab3acc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4311",
    "kind": "arxiv",
    "version": 1
  }
}