Pith Number

pith:33MV3T6T

pith:2026:33MV3T6T4YMID56CQ5SLYA7UHY

not attested not anchored not stored refs pending

Contact Invariants for Plane Curves in a Pencil

Ciro Ciliberto, Joaquim Roe, Rick Miranda

arxiv:2605.27623 v1 · 2026-05-26 · 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{33MV3T6T4YMID56CQ5SLYA7UHY}

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	2026-05-28T01:04:44.505343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded95dcfd3e61881f7c28764bc03f43e3028de25ae3fe737a7ff67ea5d542134

Aliases

arxiv: 2605.27623 · arxiv_version: 2605.27623v1 · doi: 10.48550/arxiv.2605.27623 · pith_short_12: 33MV3T6T4YMI · pith_short_16: 33MV3T6T4YMID56C · pith_short_8: 33MV3T6T

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/33MV3T6T4YMID56CQ5SLYA7UHY \
  | 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: ded95dcfd3e61881f7c28764bc03f43e3028de25ae3fe737a7ff67ea5d542134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed579033fac92b934fd8fe16be892cb455a37782167205934ecf58e914ee6b7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-26T19:42:03Z",
    "title_canon_sha256": "4981efe3ffbefc2a35fd86d7144a9301c7018f7e30aa25b846fc693575746c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27623",
    "kind": "arxiv",
    "version": 1
  }
}