Pith Number

pith:EFTU4TIQ

pith:2026:EFTU4TIQYY3GXDWWPG3TYARQ2N

not attested not anchored not stored refs pending

On two counterexamples in the geometry of numbers

Nihar Gargava

arxiv:2607.11695 v1 · 2026-07-13 · math.MG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFTU4TIQYY3GXDWWPG3TYARQ2N}

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	2026-07-14T02:22:19.436233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21674e4d10c6366b8ed679b73c0230d36eb8de5688501cfb3a388b989937d785

Aliases

arxiv: 2607.11695 · arxiv_version: 2607.11695v1 · doi: 10.48550/arxiv.2607.11695 · pith_short_12: EFTU4TIQYY3G · pith_short_16: EFTU4TIQYY3GXDWW · pith_short_8: EFTU4TIQ

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/EFTU4TIQYY3GXDWWPG3TYARQ2N \
  | 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: 21674e4d10c6366b8ed679b73c0230d36eb8de5688501cfb3a388b989937d785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8c2e0f8a6f30beeda32c468e2d0a62a4636524b9d2bec51cd71dbcf27cbc0f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-13T15:28:34Z",
    "title_canon_sha256": "5e3d1b4737bd57db967a4cc0bf894599b0d72e5850932b9f6d6579122f859f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11695",
    "kind": "arxiv",
    "version": 1
  }
}