Pith Number

pith:YAZO7HR4

pith:2026:YAZO7HR4JNDBJW4QF6JYGACKGT

not attested not anchored not stored refs pending

Cohomology of Finite Element Stokes Complexes on Alfeld Splits

Charles Parker, Pablo D. Brubeck, Yizhou Liang

arxiv:2605.31348 v1 · 2026-05-29 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAZO7HR4JNDBJW4QF6JYGACKGT}

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	2026-06-01T02:04:00.117423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c032ef9e3c4b4614db902f9383004a34cc601fae0be945f641aed839dfea1800

Aliases

arxiv: 2605.31348 · arxiv_version: 2605.31348v1 · doi: 10.48550/arxiv.2605.31348 · pith_short_12: YAZO7HR4JNDB · pith_short_16: YAZO7HR4JNDBJW4Q · pith_short_8: YAZO7HR4

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/YAZO7HR4JNDBJW4QF6JYGACKGT \
  | 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: c032ef9e3c4b4614db902f9383004a34cc601fae0be945f641aed839dfea1800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465f531c6ff9e198cfa8aa72da04afa97a77797c08e68d0f85fa2d98ea2f3319",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-29T14:26:52Z",
    "title_canon_sha256": "0baf61af922e493f3373aa2d5c933dfd198ba47f8c6186a9e06946af72ac1097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31348",
    "kind": "arxiv",
    "version": 1
  }
}