Pith Number

pith:32SLKYFA

pith:2014:32SLKYFA7GJW7SQYOKNASR5D42

not attested not anchored not stored refs pending

Embeddings and immersions of tropical curves

Andrew Dudzik, Dustin Cartwright, Madhusudan Manjunath, Yuan Yao

arxiv:1409.7372 v2 · 2014-09-25 · math.CO · 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{32SLKYFA7GJW7SQYOKNASR5D42}

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	2026-05-18T00:13:13.953791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea4b560a0f9936fca18729a0947a3e6814379a7c6a9e145072dcdc190aa4431

Aliases

arxiv: 1409.7372 · arxiv_version: 1409.7372v2 · doi: 10.48550/arxiv.1409.7372 · pith_short_12: 32SLKYFA7GJW · pith_short_16: 32SLKYFA7GJW7SQY · pith_short_8: 32SLKYFA

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/32SLKYFA7GJW7SQYOKNASR5D42 \
  | 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: dea4b560a0f9936fca18729a0947a3e6814379a7c6a9e145072dcdc190aa4431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a687cc11b127f2ffcba433eb8c1780f2e3ffc27b4e22d14cf0f656868e0e37b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-25T19:14:24Z",
    "title_canon_sha256": "0e8bbd8b89ca558a2ee8481eb914f61044ed6334db30dac62eb1f6169fcac73b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7372",
    "kind": "arxiv",
    "version": 2
  }
}