Pith Number

pith:5RE5B7FQ

pith:2013:5RE5B7FQHNF4IYAN3CQXHZGCC7

not attested not anchored not stored refs pending

The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs

Batu G\"uneysu, Markus J. Pflaum

arxiv:1308.1005 v2 · 2013-08-05 · math.AP · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RE5B7FQHNF4IYAN3CQXHZGCC7}

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	2026-05-18T00:53:11.171157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec49d0fcb03b4bc4600dd8a173e4c217ed0d1d78a947f43d719a957f58696fd7

Aliases

arxiv: 1308.1005 · arxiv_version: 1308.1005v2 · doi: 10.48550/arxiv.1308.1005 · pith_short_12: 5RE5B7FQHNF4 · pith_short_16: 5RE5B7FQHNF4IYAN · pith_short_8: 5RE5B7FQ

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/5RE5B7FQHNF4IYAN3CQXHZGCC7 \
  | 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: ec49d0fcb03b4bc4600dd8a173e4c217ed0d1d78a947f43d719a957f58696fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8cc7ca8df31f3912bffd88bcd9fbee2b5d9840c446934db70bfb48f09f7e60",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-05T15:18:45Z",
    "title_canon_sha256": "fa28cea9d75e8a5088a5e5d8b539b1c2f8fa3579ab72be82a18a44d2dce9d5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1005",
    "kind": "arxiv",
    "version": 2
  }
}