Pith Number

pith:UTAF3GK6

pith:2024:UTAF3GK6LTFY35GSWPKGD7GKCV

not attested not anchored not stored refs pending

Counting Minimal Tori In Riemannian Manifolds

Narges Bagherifard

arxiv:2412.11103 v2 · 2024-12-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTAF3GK6LTFY35GSWPKGD7GKCV}

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	2026-07-05T11:14:51.469001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c05d995e5ccb8df4d2b3d461fcca1550e12a6710d704ecacbccf5a8da884f2

Aliases

arxiv: 2412.11103 · arxiv_version: 2412.11103v2 · doi: 10.48550/arxiv.2412.11103 · pith_short_12: UTAF3GK6LTFY · pith_short_16: UTAF3GK6LTFY35GS · pith_short_8: UTAF3GK6

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/UTAF3GK6LTFY35GSWPKGD7GKCV \
  | 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: a4c05d995e5ccb8df4d2b3d461fcca1550e12a6710d704ecacbccf5a8da884f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a18ac6299641f4cd8e729b83105298c521f90e2c8d756998f7bff19ba63c5fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-15T07:56:58Z",
    "title_canon_sha256": "1f05b7bb368c272d83b2ad952f304d526a0d4152ea8261eff1f30de0310d974b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11103",
    "kind": "arxiv",
    "version": 2
  }
}