Pith Number

pith:TKWZXNF3

pith:2013:TKWZXNF3ETXCXCYGKXGMVD2KYW

not attested not anchored not stored refs pending

Invariants of complex structures on nilmanifolds

Edwin Alejandro Rodriguez Valencia

arxiv:1302.6543 v2 · 2013-02-26 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKWZXNF3ETXCXCYGKXGMVD2KYW}

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	2026-05-18T03:30:40.806105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aad9bb4bb24ee2b8b0655ccca8f4ac5b711905159511d4a139dfc44db0df465

Aliases

arxiv: 1302.6543 · arxiv_version: 1302.6543v2 · doi: 10.48550/arxiv.1302.6543 · pith_short_12: TKWZXNF3ETXC · pith_short_16: TKWZXNF3ETXCXCYG · pith_short_8: TKWZXNF3

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/TKWZXNF3ETXCXCYGKXGMVD2KYW \
  | 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: 9aad9bb4bb24ee2b8b0655ccca8f4ac5b711905159511d4a139dfc44db0df465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c12922f8f26282bf5213f6d2e1aaf77959d90c3602b9c29a3f78b543de718fa",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-26T19:15:30Z",
    "title_canon_sha256": "ad731b409c232831d098dbd2f31862f2d0cbc247034cf2b41b3370bda698732e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6543",
    "kind": "arxiv",
    "version": 2
  }
}