Pith Number

pith:VJVW2B32

pith:2021:VJVW2B32F4IPYGFJRTMKWFYBJR

not attested not anchored not stored refs pending

$3D$-flows Generated by the Curl of a Vector Potential \& Maurer-Cartan Equations

Hasan G\"umral, O\u{g}ul Esen, Partha Guha

arxiv:2103.15058 v2 · 2021-03-28 · 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{VJVW2B32F4IPYGFJRTMKWFYBJR}

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	2026-07-05T02:31:05.043365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6b6d077a2f10fc18a98cd8ab17014c41a0ba28bb91836c19b5799edcb76cf6

Aliases

arxiv: 2103.15058 · arxiv_version: 2103.15058v2 · doi: 10.48550/arxiv.2103.15058 · pith_short_12: VJVW2B32F4IP · pith_short_16: VJVW2B32F4IPYGFJ · pith_short_8: VJVW2B32

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/VJVW2B32F4IPYGFJRTMKWFYBJR \
  | 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: aa6b6d077a2f10fc18a98cd8ab17014c41a0ba28bb91836c19b5799edcb76cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc578a77a89852f22132404bcdd27fcfe2be99ca12903c9fbfe043cbd1777753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-03-28T06:21:00Z",
    "title_canon_sha256": "4fc09a0465b1b2682eefd662944e690ba55eeca39a7a0c8de8f0391ba2b4f885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15058",
    "kind": "arxiv",
    "version": 2
  }
}