Pith Number

pith:2NJ3KHMO

pith:2019:2NJ3KHMOKLJQNXZLOQFQYAEICB

not attested not anchored not stored refs pending

Normal Forms for Manifolds of Normally Hyperbolic Singularities and Asymptotic Properties of Nearby Transitions

Nathan Duignan

arxiv:1908.05590 v2 · 2019-08-15 · 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{2NJ3KHMOKLJQNXZLOQFQYAEICB}

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	2026-07-05T02:55:04.978102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d353b51d8e52d306df2b740b0c00881055458f28ee1693f10690cd02671bb86f

Aliases

arxiv: 1908.05590 · arxiv_version: 1908.05590v2 · doi: 10.48550/arxiv.1908.05590 · pith_short_12: 2NJ3KHMOKLJQ · pith_short_16: 2NJ3KHMOKLJQNXZL · pith_short_8: 2NJ3KHMO

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/2NJ3KHMOKLJQNXZLOQFQYAEICB \
  | 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: d353b51d8e52d306df2b740b0c00881055458f28ee1693f10690cd02671bb86f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5663f0476bbcf1e1db6a5b369391aeed5cbd687d45e13b97bc1a9d05737336bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-15T15:38:46Z",
    "title_canon_sha256": "c519de64433a9ef79d88a8bc589d19263fe15785eff07695fcd259650ab95649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05590",
    "kind": "arxiv",
    "version": 2
  }
}