Pith Number

pith:NN7DN35T

pith:2021:NN7DN35TOYVYFRY7GD32LO3FCO

not attested not anchored not stored refs pending

Modular curves and their pseudo-analytic cover

Boris Zilber, Chris Daw

arxiv:2107.11110 v3 · 2021-07-23 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NN7DN35TOYVYFRY7GD32LO3FCO}

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	2026-07-05T05:19:32.975897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7e36efb3762b82c71f30f7a5bb6513b66ab4d55cdc9ab92a02a14e2e17d59b

Aliases

arxiv: 2107.11110 · arxiv_version: 2107.11110v3 · doi: 10.48550/arxiv.2107.11110 · pith_short_12: NN7DN35TOYVY · pith_short_16: NN7DN35TOYVYFRY7 · pith_short_8: NN7DN35T

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/NN7DN35TOYVYFRY7GD32LO3FCO \
  | 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: 6b7e36efb3762b82c71f30f7a5bb6513b66ab4d55cdc9ab92a02a14e2e17d59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbc31a6c0db1269b48fe1221376f2f2572670cda9ca4cafac085022d1698d7a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-07-23T09:54:22Z",
    "title_canon_sha256": "8c3bc735730a0f280031d3c2e1c7018d93919f2f7defb5f2c42bdc5c9ae436ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11110",
    "kind": "arxiv",
    "version": 3
  }
}