Pith. sign in
Pith Number

pith:E67M5YSV

pith:2020:E67M5YSVC4KC6TXTHYNPQH6WTY
not attested not anchored not stored refs pending

Theta surfaces

Bernd Sturmfels, Daniele Agostini, Julia Struwe, T\"urk\"u \"Ozl\"um \c{C}elik

arxiv:2001.11385 v2 · 2020-01-30 · math.AG · math.CV · math.HO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E67M5YSVC4KC6TXTHYNPQH6WTY}

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 2026-07-05T01:08:27.286203Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27becee25517142f4ef33e1af81fd69e39ef25d36d0f13ef2c3fce253c1e9cbb

Aliases

arxiv: 2001.11385 · arxiv_version: 2001.11385v2 · doi: 10.48550/arxiv.2001.11385 · pith_short_12: E67M5YSVC4KC · pith_short_16: E67M5YSVC4KC6TXT · pith_short_8: E67M5YSV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E67M5YSVC4KC6TXTHYNPQH6WTY \
  | 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: 27becee25517142f4ef33e1af81fd69e39ef25d36d0f13ef2c3fce253c1e9cbb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a62745dedfb329076f531a12727cca7769c09dcc40c884d2971a8266c910ae3",
    "cross_cats_sorted": [
      "math.CV",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-01-30T15:13:45Z",
    "title_canon_sha256": "9a74d0e041c1b3466647c1288344390cfe8eadb38d7babf18d906d800cb63c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.11385",
    "kind": "arxiv",
    "version": 2
  }
}