Pith Number

pith:7U6RVQGJ

pith:2014:7U6RVQGJRIQHQUFYMZWZF4CJDM

not attested not anchored not stored refs pending

A formula for the second cohomology of two-step nilpotent groups

Karel Dekimpe, Manfred Hartl, Sarah Wauters

arxiv:1405.3870 v1 · 2014-05-15 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7U6RVQGJRIQHQUFYMZWZF4CJDM}

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	2026-05-18T02:51:49.124404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3d1ac0c98a207850b8666d92f0491b00de462e2c09414e7bdb8f922f01c371

Aliases

arxiv: 1405.3870 · arxiv_version: 1405.3870v1 · doi: 10.48550/arxiv.1405.3870 · pith_short_12: 7U6RVQGJRIQH · pith_short_16: 7U6RVQGJRIQHQUFY · pith_short_8: 7U6RVQGJ

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/7U6RVQGJRIQHQUFYMZWZF4CJDM \
  | 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: fd3d1ac0c98a207850b8666d92f0491b00de462e2c09414e7bdb8f922f01c371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8793ff7409d2b8803fb838d24d5008642d4f0f67e03c3f4905a82eccc7ded818",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-15T14:51:21Z",
    "title_canon_sha256": "1a56163a3f3c1346ae11660d4d07d2d3054b093e06567c2e8f99abf4d202855a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3870",
    "kind": "arxiv",
    "version": 1
  }
}