Pith Number

pith:XI5A7O4D

pith:2018:XI5A7O4D72AEVM226KTEI75NPU

not attested not anchored not stored refs pending

The elliptic modular surface of level 4 and its reduction modulo 3

Ichiro Shimada

arxiv:1806.05787 v3 · 2018-06-15 · 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{XI5A7O4D72AEVM226KTEI75NPU}

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.

Cited by

1 paper in Pith

15-nodal quartic surfaces. Part II: The automorphism group

Receipt and verification

First computed	2026-07-05T00:03:53.720136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3a0fbb83fe804ab35af2a6447fad7d1c52a7f7be01519a498f1cfe573d0f1a

Aliases

arxiv: 1806.05787 · arxiv_version: 1806.05787v3 · doi: 10.48550/arxiv.1806.05787 · pith_short_12: XI5A7O4D72AE · pith_short_16: XI5A7O4D72AEVM22 · pith_short_8: XI5A7O4D

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/XI5A7O4D72AEVM226KTEI75NPU \
  | 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: ba3a0fbb83fe804ab35af2a6447fad7d1c52a7f7be01519a498f1cfe573d0f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db9d5c534b7183d94d54126689dc4969a4861eccbc266629cca8dfdf21a6b94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-15T02:08:32Z",
    "title_canon_sha256": "0ee4fd8250d7a69ee40e94bdf169c7ac2fdad371208fcced3db02df2058517a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05787",
    "kind": "arxiv",
    "version": 3
  }
}