Pith Number

pith:SWBXRUAT

pith:2010:SWBXRUAT2BLINTQE4SZPVTJKFO

not attested not anchored not stored refs pending

Tropical geometry and correspondence theorems via toric stacks

Ilya Tyomkin

arxiv:1001.1554 v4 · 2010-01-10 · 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{SWBXRUAT2BLINTQE4SZPVTJKFO}

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	2026-05-18T04:18:34.829590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958378d013d05686ce04e4b2facd2a2b898b2c0e14a3fffb50af5989d82af94f

Aliases

arxiv: 1001.1554 · arxiv_version: 1001.1554v4 · doi: 10.48550/arxiv.1001.1554 · pith_short_12: SWBXRUAT2BLI · pith_short_16: SWBXRUAT2BLINTQE · pith_short_8: SWBXRUAT

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/SWBXRUAT2BLINTQE4SZPVTJKFO \
  | 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: 958378d013d05686ce04e4b2facd2a2b898b2c0e14a3fffb50af5989d82af94f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26eca2e9ce9c3a7307edc87fe8f24891a1b8159e92faa9b95fe0901e0cd99e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-10T20:28:24Z",
    "title_canon_sha256": "5f3425562723e77a192d37b4e4a33671dfdc2df99e31c47db15b2990c93e5e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1554",
    "kind": "arxiv",
    "version": 4
  }
}