Pith Number

pith:ZF3RDGEM

pith:2017:ZF3RDGEMNLHDIT2G22FQSTLKQY

not attested not anchored not stored refs pending

Refined Tropicalizations for Sch\"on Subvarieties of Tori

Andreas Gross

arxiv:1705.05719 v1 · 2017-05-16 · 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{ZF3RDGEMNLHDIT2G22FQSTLKQY}

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	2026-05-18T00:44:20.363727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97711988c6ace344f46d68b094d6a8609b4743637435b45008a0c414722eaf0

Aliases

arxiv: 1705.05719 · arxiv_version: 1705.05719v1 · doi: 10.48550/arxiv.1705.05719 · pith_short_12: ZF3RDGEMNLHD · pith_short_16: ZF3RDGEMNLHDIT2G · pith_short_8: ZF3RDGEM

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/ZF3RDGEMNLHDIT2G22FQSTLKQY \
  | 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: c97711988c6ace344f46d68b094d6a8609b4743637435b45008a0c414722eaf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c074933d8aeea779cc3d4ef863dc260a1755d30e074c6e4d30afc5d9869087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-16T14:24:47Z",
    "title_canon_sha256": "85a180eca900e04a951758565e0f3052a889bd9be2b3ea5c113793c334560c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05719",
    "kind": "arxiv",
    "version": 1
  }
}