Pith Number

pith:LWKBPNDL

pith:2013:LWKBPNDLK54DMEBMSME4MSFA7I

not attested not anchored not stored refs pending

On real tropical bases and real tropical discriminants

Luis Felipe Tabera

arxiv:1311.2211 v1 · 2013-11-09 · 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{LWKBPNDLK54DMEBMSME4MSFA7I}

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	2026-05-18T03:07:33.250640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9417b46b577836102c9309c648a0fa3f6db876f643068f3c4b6f96be5e6f76

Aliases

arxiv: 1311.2211 · arxiv_version: 1311.2211v1 · doi: 10.48550/arxiv.1311.2211 · pith_short_12: LWKBPNDLK54D · pith_short_16: LWKBPNDLK54DMEBM · pith_short_8: LWKBPNDL

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/LWKBPNDLK54DMEBMSME4MSFA7I \
  | 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: 5d9417b46b577836102c9309c648a0fa3f6db876f643068f3c4b6f96be5e6f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef09337e42851c234af283d1c499b74d881190cfcdb6a3be88bc8a056bde2ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-09T20:55:16Z",
    "title_canon_sha256": "3f79e85ec1bd806f065c20dc4f613eecfbdd327bca80455ccb7d43e1dae0a93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2211",
    "kind": "arxiv",
    "version": 1
  }
}