Pith Number

pith:TCV4VQTZ

pith:2016:TCV4VQTZEGW6REREMCUKKD42S5

not attested not anchored not stored refs pending

Euler systems for Hilbert modular surfaces

Antonio Lei, David Loeffler, Sarah Livia Zerbes

arxiv:1607.07813 v4 · 2016-07-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCV4VQTZEGW6REREMCUKKD42S5}

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	2026-05-17T23:58:50.497387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98abcac27921ade8922460a8a50f9a974d1d977b752397d66f00f79c51161f1f

Aliases

arxiv: 1607.07813 · arxiv_version: 1607.07813v4 · doi: 10.48550/arxiv.1607.07813 · pith_short_12: TCV4VQTZEGW6 · pith_short_16: TCV4VQTZEGW6RERE · pith_short_8: TCV4VQTZ

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/TCV4VQTZEGW6REREMCUKKD42S5 \
  | 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: 98abcac27921ade8922460a8a50f9a974d1d977b752397d66f00f79c51161f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac40eef5e9a97f8824ab1c6b67c52163b1c7b25aeae326961d57f917ca20830a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-26T17:32:21Z",
    "title_canon_sha256": "58b5ac8da4241f1c8837d606a2e97860b3ba1ace971349a6c64f500e3494c10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07813",
    "kind": "arxiv",
    "version": 4
  }
}