Pith Number

pith:PTKI4OZC

pith:2023:PTKI4OZCBTFI5WCYMLQSXVZCT2

not attested not anchored not stored refs pending

An existence and uniqueness result using bounded variation estimates in Galerkin approximations

Aditi Sengupta, Ramesh Mondal

arxiv:2312.09959 v5 · 2023-12-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTKI4OZCBTFI5WCYMLQSXVZCT2}

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	2026-07-05T10:07:23.217202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd48e3b220cca8ed85862e12bd7229ea823ef76283ba0e578503ad24c7606e8

Aliases

arxiv: 2312.09959 · arxiv_version: 2312.09959v5 · doi: 10.48550/arxiv.2312.09959 · pith_short_12: PTKI4OZCBTFI · pith_short_16: PTKI4OZCBTFI5WCY · pith_short_8: PTKI4OZC

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/PTKI4OZCBTFI5WCYMLQSXVZCT2 \
  | 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: 7cd48e3b220cca8ed85862e12bd7229ea823ef76283ba0e578503ad24c7606e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b1568ca47759e1c6cb8d40e950444705b518a1157e54e2ca0a98d52ad56ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-15T17:11:57Z",
    "title_canon_sha256": "65eca48669acba689d65912bbd26996a47b3ea8e00b52e015d9a8bca9b626a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.09959",
    "kind": "arxiv",
    "version": 5
  }
}