Pith Number

pith:WVBZESPI

pith:2012:WVBZESPISBYMN257PR55LIVJA6

not attested not anchored not stored refs pending

Flow Invariance on Stratified Domains

Peter Wolenski, Richard Barnard

arxiv:1208.4742 v1 · 2012-08-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WVBZESPISBYMN257PR55LIVJA6}

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	2026-05-18T03:48:12.762698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5439249e89070c6ebbf7c7bd5a2a9078b9935bc4a6d5a0f6394640372cbb5a7

Aliases

arxiv: 1208.4742 · arxiv_version: 1208.4742v1 · doi: 10.48550/arxiv.1208.4742 · pith_short_12: WVBZESPISBYM · pith_short_16: WVBZESPISBYMN257 · pith_short_8: WVBZESPI

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/WVBZESPISBYMN257PR55LIVJA6 \
  | 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: b5439249e89070c6ebbf7c7bd5a2a9078b9935bc4a6d5a0f6394640372cbb5a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9072b417ae21f8dd79892de60d31ac3c779077a35b10655d8a4b1fc72e732680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-23T13:09:09Z",
    "title_canon_sha256": "c87b71bfe55290a1046b0b09aa8b0c7b956638f8755ce93068de9fa3db2a995a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4742",
    "kind": "arxiv",
    "version": 1
  }
}