Pith Number

pith:GJOEBM5S

pith:2012:GJOEBM5SMESIEY5FUDZ563F7YF

not attested not anchored not stored refs pending

On the homogenization of partial integro-differential-algebraic equations

Marcus Waurick

arxiv:1204.3768 v5 · 2012-04-17 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJOEBM5SMESIEY5FUDZ563F7YF}

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	2026-05-18T01:19:34.771045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

325c40b3b261248263a5a0f3df6cbfc14a97ef0cb5775822c583839a4a754acf

Aliases

arxiv: 1204.3768 · arxiv_version: 1204.3768v5 · doi: 10.48550/arxiv.1204.3768 · pith_short_12: GJOEBM5SMESI · pith_short_16: GJOEBM5SMESIEY5F · pith_short_8: GJOEBM5S

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/GJOEBM5SMESIEY5FUDZ563F7YF \
  | 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: 325c40b3b261248263a5a0f3df6cbfc14a97ef0cb5775822c583839a4a754acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425aabe6ff9715a0d3a3016a6b5fa27b2bcd584ad3982b90cffc7cb5dd5351ad",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-17T11:37:39Z",
    "title_canon_sha256": "3e85f6a5bccafe72f3e6e6faa3745b5e3654e95865c979a1d45d0ebaa051c7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3768",
    "kind": "arxiv",
    "version": 5
  }
}