Pith Number

pith:W6IMP6JI

pith:2012:W6IMP6JIRTXKAE53EWMXZSKB6C

not attested not anchored not stored refs pending

A note on Canonical Ricci forms on 2-step nilmanifolds

Luigi Vezzoni

arxiv:1202.6227 v4 · 2012-02-28 · 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{W6IMP6JIRTXKAE53EWMXZSKB6C}

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	2026-05-18T02:51:15.301610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b790c7f9288ceea013bb25997cc941f09bf68de63bb442a7434cb867bd9a9326

Aliases

arxiv: 1202.6227 · arxiv_version: 1202.6227v4 · doi: 10.48550/arxiv.1202.6227 · pith_short_12: W6IMP6JIRTXK · pith_short_16: W6IMP6JIRTXKAE53 · pith_short_8: W6IMP6JI

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/W6IMP6JIRTXKAE53EWMXZSKB6C \
  | 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: b790c7f9288ceea013bb25997cc941f09bf68de63bb442a7434cb867bd9a9326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3014bc5ec952db1dd3b8b43300d516c64f74167be31fb556c05adf052c17bcad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-28T14:12:09Z",
    "title_canon_sha256": "1c3b166802cad521380aafbf37d1ee9fc781fa4d2761a1f94a5bf5587bda856b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6227",
    "kind": "arxiv",
    "version": 4
  }
}