Pith Number

pith:YPYEPUX3

pith:2014:YPYEPUX3GUJVLYGWSNSEEPOMZ3

not attested not anchored not stored refs pending

Enriched curves and their tropical counterpart

Alex Abreu, Marco Pacini

arxiv:1412.5308 v2 · 2014-12-17 · 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{YPYEPUX3GUJVLYGWSNSEEPOMZ3}

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	2026-05-18T01:04:09.564198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f047d2fb351355e0d69364423dcccefb034d1244a3361a64acf1cf751b4738

Aliases

arxiv: 1412.5308 · arxiv_version: 1412.5308v2 · doi: 10.48550/arxiv.1412.5308 · pith_short_12: YPYEPUX3GUJV · pith_short_16: YPYEPUX3GUJVLYGW · pith_short_8: YPYEPUX3

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/YPYEPUX3GUJVLYGWSNSEEPOMZ3 \
  | 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: c3f047d2fb351355e0d69364423dcccefb034d1244a3361a64acf1cf751b4738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a07d6afd44b8b94bd75c68699f9ba98b8d36feaf6090e9e241ac41f62613b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-17T09:46:21Z",
    "title_canon_sha256": "46ba8df81050d58be4e9a4d2857db3d20b76442cc4892fa4d95b18465cb6c0ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5308",
    "kind": "arxiv",
    "version": 2
  }
}