Pith Number

pith:HAAYNITW

pith:2019:HAAYNITWCYPB4FZNGCSFF2JQVQ

not attested not anchored not stored refs pending

Grothendieck's Dessins d'Enfants in a Web of Dualities. II

Jian Zhou

arxiv:1907.00357 v1 · 2019-06-30 · 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{HAAYNITWCYPB4FZNGCSFF2JQVQ}

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	2026-05-17T23:41:52.025938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380186a276161e1e172d30a452e930ac1ab9574bf5fabb3aaad3facb361d38e6

Aliases

arxiv: 1907.00357 · arxiv_version: 1907.00357v1 · doi: 10.48550/arxiv.1907.00357 · pith_short_12: HAAYNITWCYPB · pith_short_16: HAAYNITWCYPB4FZN · pith_short_8: HAAYNITW

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/HAAYNITWCYPB4FZNGCSFF2JQVQ \
  | 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: 380186a276161e1e172d30a452e930ac1ab9574bf5fabb3aaad3facb361d38e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14665e1f05e817c7c4fee6c11a7c9a13682f9e5a4ce04fdbad32dcbd86100f6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-30T10:28:32Z",
    "title_canon_sha256": "5e29a9c7cf37b67e4cd6762753ea76a9cb6a9ff7e5a05e0b1c342528e4cbe19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00357",
    "kind": "arxiv",
    "version": 1
  }
}