Pith Number

pith:7L4IO33B

pith:2016:7L4IO33BGORY3JXUZ55V3X63BJ

not attested not anchored not stored refs pending

Computing complex and real tropical curves using monodromy

Cynthia Vinzant, Daniel A. Brake, Jonathan D. Hauenstein

arxiv:1605.04203 v1 · 2016-05-13 · math.AG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7L4IO33BGORY3JXUZ55V3X63BJ}

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	2026-05-18T01:14:54.036822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf8876f6133a38da6f4cf7b5ddfdb0a543597af3c678a6b977383bd4f0bb92c

Aliases

arxiv: 1605.04203 · arxiv_version: 1605.04203v1 · doi: 10.48550/arxiv.1605.04203 · pith_short_12: 7L4IO33BGORY · pith_short_16: 7L4IO33BGORY3JXU · pith_short_8: 7L4IO33B

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/7L4IO33BGORY3JXUZ55V3X63BJ \
  | 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: faf8876f6133a38da6f4cf7b5ddfdb0a543597af3c678a6b977383bd4f0bb92c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89b1eb83b1718b1d387c482bf4afc3e0cda6e1868a006633abd476e8650ff20",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-13T14:55:22Z",
    "title_canon_sha256": "d3ac59067cc5b8461e57fff5c19ba1a667e96032c519e33026c1517c415b9f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04203",
    "kind": "arxiv",
    "version": 1
  }
}