Pith Number

pith:VJHEJEEU

pith:2021:VJHEJEEU2X264Y5437ZXVJTXOW

not attested not anchored not stored refs pending

Gradient flows for bounded linear evolution equations

D. R. Michiel Renger, Stefanie Schindler

arxiv:2110.02012 v1 · 2021-10-05 · math.AP · 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{VJHEJEEU2X264Y5437ZXVJTXOW}

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	2026-07-05T03:20:08.658046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4e449094d5f5ee63bcdff37aa6777584b6194e614a3a6333c1bee3511458a7

Aliases

arxiv: 2110.02012 · arxiv_version: 2110.02012v1 · doi: 10.48550/arxiv.2110.02012 · pith_short_12: VJHEJEEU2X26 · pith_short_16: VJHEJEEU2X264Y54 · pith_short_8: VJHEJEEU

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/VJHEJEEU2X264Y5437ZXVJTXOW \
  | 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: aa4e449094d5f5ee63bcdff37aa6777584b6194e614a3a6333c1bee3511458a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb350d625a642e3624f9ba40a1bbe9fc281e93e67fd41180260edcf1c385c33",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-05T13:00:03Z",
    "title_canon_sha256": "01329bbd51054a92134adfcb7fbf4205ed80bd33b4d81e62e59753f8259f2525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.02012",
    "kind": "arxiv",
    "version": 1
  }
}