Pith Number

pith:TRWJNFCX

pith:2020:TRWJNFCXJUOHD5INTBCSRUNUDM

not attested not anchored not stored refs pending

Counting planar curves in $\mathbb{P}^3$ with degenerate singularities

Nilkantha Das, Ritwik Mukherjee

arxiv:2007.11933 v1 · 2020-07-23 · 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{TRWJNFCXJUOHD5INTBCSRUNUDM}

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	2026-07-05T10:17:03.543251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6c9694574d1c71f50d984528d1b41b30c270cfa716f46efc106d985970be87

Aliases

arxiv: 2007.11933 · arxiv_version: 2007.11933v1 · doi: 10.48550/arxiv.2007.11933 · pith_short_12: TRWJNFCXJUOH · pith_short_16: TRWJNFCXJUOHD5IN · pith_short_8: TRWJNFCX

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/TRWJNFCXJUOHD5INTBCSRUNUDM \
  | 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: 9c6c9694574d1c71f50d984528d1b41b30c270cfa716f46efc106d985970be87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9f89d987849a9634478bc73ca253ad84d00c16a691e7698608663c7c73f172",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-07-23T11:16:28Z",
    "title_canon_sha256": "cb09ce90cc9f73c39f43019d6b9958dbaa48fc286273e45908b59f4bd4f6f0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.11933",
    "kind": "arxiv",
    "version": 1
  }
}