Pith Number

pith:EMRH6WBZ

pith:2022:EMRH6WBZ5E3IGXN72HB3G52MTJ

not attested not anchored not stored refs pending

Counting rational curves with an $m$-fold point

Anantadulal Paul, Apratim Choudhury, Chitrabhanu Chaudhuri, Indranil Biswas, Ritwik Mukherjee

arxiv:2212.01664 v2 · 2022-12-03 · math.AG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMRH6WBZ5E3IGXN72HB3G52MTJ}

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	2026-07-05T06:43:46.361983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23227f5839e936835dbfd1c3b3774c9a778c8affd276dccc9fc26078aef63309

Aliases

arxiv: 2212.01664 · arxiv_version: 2212.01664v2 · doi: 10.48550/arxiv.2212.01664 · pith_short_12: EMRH6WBZ5E3I · pith_short_16: EMRH6WBZ5E3IGXN7 · pith_short_8: EMRH6WBZ

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/EMRH6WBZ5E3IGXN72HB3G52MTJ \
  | 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: 23227f5839e936835dbfd1c3b3774c9a778c8affd276dccc9fc26078aef63309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed217ac2ad525e70048234e84f89b820be41b575789df0624e51048430a649b",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-03T18:35:05Z",
    "title_canon_sha256": "eb7938b49a1a78450ef6b3cb2177857f20669b7a18932adfbf3ce2c4a0a306d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01664",
    "kind": "arxiv",
    "version": 2
  }
}