Pith Number

pith:ZRGTLZCV

pith:2009:ZRGTLZCVQ5P6PRK2Y46PYUMUNN

not attested not anchored not stored refs pending

Polarized Complexity-One T-Varieties

Hendrik S\"u{\ss}, Nathan Owen Ilten

arxiv:0910.5919 v1 · 2009-10-30 · 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{ZRGTLZCVQ5P6PRK2Y46PYUMUNN}

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	2026-05-18T03:40:37.045101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4d35e455875fe7c55ac73cfc51946b42cb18208691e09521d9f4a0e85e7306

Aliases

arxiv: 0910.5919 · arxiv_version: 0910.5919v1 · doi: 10.48550/arxiv.0910.5919 · pith_short_12: ZRGTLZCVQ5P6 · pith_short_16: ZRGTLZCVQ5P6PRK2 · pith_short_8: ZRGTLZCV

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/ZRGTLZCVQ5P6PRK2Y46PYUMUNN \
  | 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: cc4d35e455875fe7c55ac73cfc51946b42cb18208691e09521d9f4a0e85e7306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbae994b3a86f6210abc8af5f6960cf3966405d6004c4776fd2e436b4837b1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-30T17:26:01Z",
    "title_canon_sha256": "1b9463a356872732c4afd05c0dff1f16e03a836caf3824a793260f9737076094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5919",
    "kind": "arxiv",
    "version": 1
  }
}