Pith Number

pith:AJGETTHX

pith:2017:AJGETTHXL6BWRJYU4AVDSE5Z5P

not attested not anchored not stored refs pending

A note on the index of closed minimal hypersurfaces of flat tori

Alessandro Carlotto, Ben Sharp, Lucas Ambrozio

arxiv:1701.06901 v2 · 2017-01-24 · 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{AJGETTHXL6BWRJYU4AVDSE5Z5P}

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	2026-05-18T00:43:39.422097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024c49ccf75f8368a714e02a3913b9ebc1f2d4452fc003821f046efdb4ca69d7

Aliases

arxiv: 1701.06901 · arxiv_version: 1701.06901v2 · doi: 10.48550/arxiv.1701.06901 · pith_short_12: AJGETTHXL6BW · pith_short_16: AJGETTHXL6BWRJYU · pith_short_8: AJGETTHX

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/AJGETTHXL6BWRJYU4AVDSE5Z5P \
  | 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: 024c49ccf75f8368a714e02a3913b9ebc1f2d4452fc003821f046efdb4ca69d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69bae8c43978e5465d89bbfc71f5d081a5660a3e985ed30293600d2ba58a724d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-24T14:53:09Z",
    "title_canon_sha256": "219575322295883cf1709de35060d890c585853c92efb63cca491291b537f6a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06901",
    "kind": "arxiv",
    "version": 2
  }
}