Pith Number

pith:PN6D5UW2

pith:2016:PN6D5UW2WH5FZCOWQRDTOJDQM3

not attested not anchored not stored refs pending

Modular forms, Schwarzian conditions, and symmetries of differential equations in physics

J.-M. Maillard, Y. Abdelaziz

arxiv:1611.08493 v3 · 2016-11-25 · math-ph · 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{PN6D5UW2WH5FZCOWQRDTOJDQM3}

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	2026-05-18T00:43:58.900739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7c3ed2dab1fa5c89d6844737247066e3b911f27f77ed276f29075f7f80e14d

Aliases

arxiv: 1611.08493 · arxiv_version: 1611.08493v3 · doi: 10.48550/arxiv.1611.08493 · pith_short_12: PN6D5UW2WH5F · pith_short_16: PN6D5UW2WH5FZCOW · pith_short_8: PN6D5UW2

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/PN6D5UW2WH5FZCOWQRDTOJDQM3 \
  | 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: 7b7c3ed2dab1fa5c89d6844737247066e3b911f27f77ed276f29075f7f80e14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19138260e88ce93ed86db557335c74bf882e7c1425d556740bb82c6e82951070",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-25T15:33:37Z",
    "title_canon_sha256": "e3bc07b882d9d9c1722c2314d2d693b3e5d8602a6f051be3f7b71ecd06074c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08493",
    "kind": "arxiv",
    "version": 3
  }
}