Pith Number

pith:G4Q54AKE

pith:2013:G4Q54AKEKA5WRSYB3ARGEKXDLZ

not attested not anchored not stored refs pending

Minimal metrics on 6-dimensional complex nilmanifolds

Edwin Alejandro Rodriguez Valencia

arxiv:1309.3601 v2 · 2013-09-13 · 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{G4Q54AKEKA5WRSYB3ARGEKXDLZ}

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	2026-05-18T03:12:45.968079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3721de0144503b68cb01d822622ae35e5ea16b2d5fba5ea94f220c17e821ab07

Aliases

arxiv: 1309.3601 · arxiv_version: 1309.3601v2 · doi: 10.48550/arxiv.1309.3601 · pith_short_12: G4Q54AKEKA5W · pith_short_16: G4Q54AKEKA5WRSYB · pith_short_8: G4Q54AKE

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/G4Q54AKEKA5WRSYB3ARGEKXDLZ \
  | 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: 3721de0144503b68cb01d822622ae35e5ea16b2d5fba5ea94f220c17e821ab07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170afa0c41783ea4d77028f81f5c982bf4c1c8140f4b951f18457fe030944773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-13T22:42:31Z",
    "title_canon_sha256": "0064d0ae992b579dd4996e780adee87c5a0c957a188a8af7b1b243ee64eb1d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3601",
    "kind": "arxiv",
    "version": 2
  }
}