Pith Number

pith:UV3DP6UH

pith:2017:UV3DP6UH2RGEMK6HLKHKISMQBO

not attested not anchored not stored refs pending

Unstable modes in projection-based reduced-order models: How many can there be, and what do they tell you?

Mark Embree

arxiv:1801.00234 v2 · 2017-12-31 · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV3DP6UH2RGEMK6HLKHKISMQBO}

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	2026-05-18T00:00:08.898213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a57637fa87d44c462bc75a8ea449900b909849765dbb07b1921a2bf0359cdce4

Aliases

arxiv: 1801.00234 · arxiv_version: 1801.00234v2 · doi: 10.48550/arxiv.1801.00234 · pith_short_12: UV3DP6UH2RGE · pith_short_16: UV3DP6UH2RGEMK6H · pith_short_8: UV3DP6UH

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/UV3DP6UH2RGEMK6HLKHKISMQBO \
  | 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: a57637fa87d44c462bc75a8ea449900b909849765dbb07b1921a2bf0359cdce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a63d97b6fac31a5bf3e1c379eef74d67a984a19a15ef6f59a06a0145f02430",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-31T04:27:08Z",
    "title_canon_sha256": "4f8ff6d9bf41a5afa6b6ca2acf4271e4fe8420f3153d0d8e890c69711d759fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00234",
    "kind": "arxiv",
    "version": 2
  }
}