Pith Number

pith:HT6MIDUM

pith:2016:HT6MIDUMQ24J5NTSYX4A7TE6OY

not attested not anchored not stored refs pending

On twists of smooth plane curves

Elisa Lorenzo, Eslam Badr, Francesc Bars

arxiv:1603.08711 v2 · 2016-03-29 · math.NT · 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{HT6MIDUMQ24J5NTSYX4A7TE6OY}

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	2026-05-18T00:59:25.592570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfcc40e8c86b89eb672c5f80fcc9e7631d10acd3f2f481b91688fca450766c4

Aliases

arxiv: 1603.08711 · arxiv_version: 1603.08711v2 · doi: 10.48550/arxiv.1603.08711 · pith_short_12: HT6MIDUMQ24J · pith_short_16: HT6MIDUMQ24J5NTS · pith_short_8: HT6MIDUM

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/HT6MIDUMQ24J5NTSYX4A7TE6OY \
  | 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: 3cfcc40e8c86b89eb672c5f80fcc9e7631d10acd3f2f481b91688fca450766c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b26cf34f80370457e2c825fd05c5214e0a4423b82a52398b89c4f8143ad6e7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-29T10:24:43Z",
    "title_canon_sha256": "d92ad18109b28731f22b9c783ec13a499d23c3e36be9549849dd771413ed3954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08711",
    "kind": "arxiv",
    "version": 2
  }
}