Pith Number

pith:4E77ZXI7

pith:2025:4E77ZXI7ERN5PQQ2IU3PF6PJE7

not attested not anchored not stored refs pending

Tropical rational curves with first order tangency via WDVV

Aditya Subramaniam, Anantadulal Paul

arxiv:2501.16927 v1 · 2025-01-28 · 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{4E77ZXI7ERN5PQQ2IU3PF6PJE7}

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	2026-07-05T10:06:20.509680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13ffcdd1f245bd7c21a4536f2f9e927f75f1450708353038bcddf95f6935d5f

Aliases

arxiv: 2501.16927 · arxiv_version: 2501.16927v1 · doi: 10.48550/arxiv.2501.16927 · pith_short_12: 4E77ZXI7ERN5 · pith_short_16: 4E77ZXI7ERN5PQQ2 · pith_short_8: 4E77ZXI7

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/4E77ZXI7ERN5PQQ2IU3PF6PJE7 \
  | 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: e13ffcdd1f245bd7c21a4536f2f9e927f75f1450708353038bcddf95f6935d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f786a8615443e636c48a29c2be247ec4d3c6876df9e79e19ee27b0d51fe327a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-28T13:16:39Z",
    "title_canon_sha256": "e7a95edbe1d8378dd29a3163dd5e9219ba4e4878474074a0176741ffb1832cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16927",
    "kind": "arxiv",
    "version": 1
  }
}