Pith Number

pith:DC5V6CWU

pith:2021:DC5V6CWUBVMZCDEHDJO3NSW3ET

not attested not anchored not stored refs pending

Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges

Thorsten Schimannek

arxiv:2108.09311 v1 · 2021-08-20 · hep-th · 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{DC5V6CWUBVMZCDEHDJO3NSW3ET}

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.

Cited by

2 papers in Pith

Kaleidoscopes, Waves and the Prepotential

String probes, simple currents, and the no global symmetries conjecture

Receipt and verification

First computed	2026-07-05T03:57:11.063734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18bb5f0ad40d59910c871a5db6cadb24d39866db70e1bfe453d524d9f1c7d3dc

Aliases

arxiv: 2108.09311 · arxiv_version: 2108.09311v1 · doi: 10.48550/arxiv.2108.09311 · pith_short_12: DC5V6CWUBVMZ · pith_short_16: DC5V6CWUBVMZCDEH · pith_short_8: DC5V6CWU

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/DC5V6CWUBVMZCDEHDJO3NSW3ET \
  | 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: 18bb5f0ad40d59910c871a5db6cadb24d39866db70e1bfe453d524d9f1c7d3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97af5a5c5bbf52bc131f4b472c9dfa970bb2faf57a8ff660f946bc2c7ef57c50",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-20T18:00:01Z",
    "title_canon_sha256": "d1bab22236ddcd78e6405cc3b9abcb74360117c0350814429314fdfc4c9b46b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09311",
    "kind": "arxiv",
    "version": 1
  }
}