Pith Number

pith:WTMN3JFM

pith:2016:WTMN3JFMGR2UC5O3EB7ZSBE7LD

not attested not anchored not stored refs pending

Fourier-Taylor Parameterization of Unstable Manifolds for Parabolic Partial Differential Equations: Formalization, Implementation, and Rigorous Validation

Christian Reinhardt, Jason Mireles-James

arxiv:1601.00307 v2 · 2016-01-03 · 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{WTMN3JFMGR2UC5O3EB7ZSBE7LD}

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	2026-05-18T01:13:30.618266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d8dda4ac34754175db207f99049f58c606cc01c44b1918609c67ce7b4548ca

Aliases

arxiv: 1601.00307 · arxiv_version: 1601.00307v2 · doi: 10.48550/arxiv.1601.00307 · pith_short_12: WTMN3JFMGR2U · pith_short_16: WTMN3JFMGR2UC5O3 · pith_short_8: WTMN3JFM

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/WTMN3JFMGR2UC5O3EB7ZSBE7LD \
  | 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: b4d8dda4ac34754175db207f99049f58c606cc01c44b1918609c67ce7b4548ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fa2fb1bd08fac82d0b32e3d817da05aefde2585030b9b3f1f0af827e879db1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-03T15:53:39Z",
    "title_canon_sha256": "f8e112f0e90b0461c321d388054ba25adb4cf20be9bf8992cf5c66084120d22e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00307",
    "kind": "arxiv",
    "version": 2
  }
}