Pith Number

pith:LIEMCVIA

pith:2018:LIEMCVIA7ITTHGLDDELFDIPNY7

not attested not anchored not stored refs pending

Computing Unit Groups of Curves

Justin Chen, Leon Zhang, Sameera Vemulapalli

arxiv:1808.02742 v1 · 2018-08-08 · math.AG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIEMCVIA7ITTHGLDDELFDIPNY7}

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	2026-05-18T00:08:32.306674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a08c15500fa27339963191651a1edc7fb18d0f1dbce31bc1ee3d447293e12e2

Aliases

arxiv: 1808.02742 · arxiv_version: 1808.02742v1 · doi: 10.48550/arxiv.1808.02742 · pith_short_12: LIEMCVIA7ITT · pith_short_16: LIEMCVIA7ITTHGLD · pith_short_8: LIEMCVIA

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/LIEMCVIA7ITTHGLDDELFDIPNY7 \
  | 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: 5a08c15500fa27339963191651a1edc7fb18d0f1dbce31bc1ee3d447293e12e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d33a878587897182bb783e87c50eafc69e2ddbfed1ec2467950c7c84acd07c",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-08T13:04:44Z",
    "title_canon_sha256": "68fe8a1a42d939907b289e4f3c6d3d4556ddccb3ce0140bf32a7ac211a8b0cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02742",
    "kind": "arxiv",
    "version": 1
  }
}