Pith Number

pith:DUCOUF44

pith:2018:DUCOUF44UBBPIT57W53KUIB75N

not attested not anchored not stored refs pending

A right inverse operator for $\operatorname{curl}+\lambda$ and applications

Briceyda B. Delgado, Vladislav V. Kravchenko

arxiv:1812.07364 v1 · 2018-12-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUCOUF44UBBPIT57W53KUIB75N}

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	2026-05-17T23:58:00.725362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d04ea179ca042f44fbfb776aa203feb56d4bf4635782e272cdbba1b7facbc21

Aliases

arxiv: 1812.07364 · arxiv_version: 1812.07364v1 · doi: 10.48550/arxiv.1812.07364 · pith_short_12: DUCOUF44UBBP · pith_short_16: DUCOUF44UBBPIT57 · pith_short_8: DUCOUF44

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/DUCOUF44UBBPIT57W53KUIB75N \
  | 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: 1d04ea179ca042f44fbfb776aa203feb56d4bf4635782e272cdbba1b7facbc21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95aef2f1d21dfc714221d31289ff751a2e5f1a8d866ca03363d0388ba8d394b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-18T13:48:20Z",
    "title_canon_sha256": "ac809b82a421a301a6d2b9bee791f43b330f9a7b9a578414d0b8163e09272316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07364",
    "kind": "arxiv",
    "version": 1
  }
}