Pith Number

pith:AMWKJ52C

pith:2016:AMWKJ52CAQELO2YNPRHOXQCKWC

not attested not anchored not stored refs pending

Some explicit elliptic modular surfaces

Laure Flapan

arxiv:1603.05613 v2 · 2016-03-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMWKJ52CAQELO2YNPRHOXQCKWC}

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	2026-05-18T00:12:50.922044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032ca4f7420408b76b0d7c4eebc04ab09fdb83a63d09564148973d79e49eb9ac

Aliases

arxiv: 1603.05613 · arxiv_version: 1603.05613v2 · doi: 10.48550/arxiv.1603.05613 · pith_short_12: AMWKJ52CAQEL · pith_short_16: AMWKJ52CAQELO2YN · pith_short_8: AMWKJ52C

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/AMWKJ52CAQELO2YNPRHOXQCKWC \
  | 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: 032ca4f7420408b76b0d7c4eebc04ab09fdb83a63d09564148973d79e49eb9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bb27be2da8c613c6b8d06e700cda236dfe5fa561e5e719948f4178d90e3434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-17T19:00:16Z",
    "title_canon_sha256": "bb1e6ec4be259298a89766c33f548fac2fca3f4b6ee3185517cf775b905fe5fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05613",
    "kind": "arxiv",
    "version": 2
  }
}