Pith Number

pith:7457TKG2

pith:2021:7457TKG2DZXZEY326JBMFVCTGK

not attested not anchored not stored refs pending

Modular Curves and the Refined Distance Conjecture

Daniel Klaewer

arxiv:2108.00021 v2 · 2021-07-30 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7457TKG2DZXZEY326JBMFVCTGK}

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

1 paper in Pith

Optimal paths across potentials on scalar field space

Receipt and verification

First computed	2026-07-05T03:45:39.204260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff3bf9a8da1e6f92637af242c2d45332856d240c68384aa2321d47be98c3e8ba

Aliases

arxiv: 2108.00021 · arxiv_version: 2108.00021v2 · doi: 10.48550/arxiv.2108.00021 · pith_short_12: 7457TKG2DZXZ · pith_short_16: 7457TKG2DZXZEY32 · pith_short_8: 7457TKG2

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/7457TKG2DZXZEY326JBMFVCTGK \
  | 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: ff3bf9a8da1e6f92637af242c2d45332856d240c68384aa2321d47be98c3e8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f19e108f747069bc793109f06b805b37a1b9ae776c8adc68a3c48d779a95976",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-30T18:00:14Z",
    "title_canon_sha256": "acb6269c7e86e01057f69b8cf2aa23fe0030be2d1219d57e044e99673647bb81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00021",
    "kind": "arxiv",
    "version": 2
  }
}