Pith Number

pith:VHYV6N6P

pith:2018:VHYV6N6PVXM7Z3CYCFBVWRKL3A

not attested not anchored not stored refs pending

Global Spherical Tropicalization via Toric Embeddings

Evan D. Nash

arxiv:1802.07586 v1 · 2018-02-21 · 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{VHYV6N6PVXM7Z3CYCFBVWRKL3A}

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	2026-05-18T00:22:49.873995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f15f37cfadd9fcec5811435b454bd80599d089510cbfbd12eeb106e4d00e02

Aliases

arxiv: 1802.07586 · arxiv_version: 1802.07586v1 · doi: 10.48550/arxiv.1802.07586 · pith_short_12: VHYV6N6PVXM7 · pith_short_16: VHYV6N6PVXM7Z3CY · pith_short_8: VHYV6N6P

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/VHYV6N6PVXM7Z3CYCFBVWRKL3A \
  | 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: a9f15f37cfadd9fcec5811435b454bd80599d089510cbfbd12eeb106e4d00e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a7c532469cfbda9cdc712d55e2beec3e2f8a01efb960e8e9418a373d668d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-21T14:36:21Z",
    "title_canon_sha256": "a60292639150821c9df75889c59bbb7d84c54114cf6253f43de2016f86f188d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07586",
    "kind": "arxiv",
    "version": 1
  }
}