Pith Number

pith:CXVGO4ZC

pith:2016:CXVGO4ZCWEKX4AVY7DZNSE6VS4

not attested not anchored not stored refs pending

A systematic construction of finite element commuting exact sequences

Bernardo Cockburn, Guosheng Fu

arxiv:1605.00132 v1 · 2016-04-30 · math.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{CXVGO4ZCWEKX4AVY7DZNSE6VS4}

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	2026-05-18T01:15:56.681553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ea677322b1157e02b8f8f2d913d5970118549fe13c6e325cb8a14f275757fb

Aliases

arxiv: 1605.00132 · arxiv_version: 1605.00132v1 · doi: 10.48550/arxiv.1605.00132 · pith_short_12: CXVGO4ZCWEKX · pith_short_16: CXVGO4ZCWEKX4AVY · pith_short_8: CXVGO4ZC

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/CXVGO4ZCWEKX4AVY7DZNSE6VS4 \
  | 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: 15ea677322b1157e02b8f8f2d913d5970118549fe13c6e325cb8a14f275757fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8dd8b30b04aea74b217c3e241325d64132f7d3077014d6b8ee63a7515e1b061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-30T16:14:33Z",
    "title_canon_sha256": "5fa7306a6823b6dc9a018a3fd6dbbc78cbbf191e2c131c58a4c19b6abc2b9d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00132",
    "kind": "arxiv",
    "version": 1
  }
}