Pith Number

pith:43T6RIBE

pith:2017:43T6RIBEAXO6VP6G3S4Z4UUHFL

not attested not anchored not stored refs pending

Low-dimensional bounded cohomology and extensions of groups

Nicolaus Heuer

arxiv:1703.08802 v2 · 2017-03-26 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43T6RIBEAXO6VP6G3S4Z4UUHFL}

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	2026-05-18T00:03:37.367929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e7e8a02405ddeabfc6dcb99e52872aed49ef21b23d551e577d0418fb03af62

Aliases

arxiv: 1703.08802 · arxiv_version: 1703.08802v2 · doi: 10.48550/arxiv.1703.08802 · pith_short_12: 43T6RIBEAXO6 · pith_short_16: 43T6RIBEAXO6VP6G · pith_short_8: 43T6RIBE

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/43T6RIBEAXO6VP6G3S4Z4UUHFL \
  | 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: e6e7e8a02405ddeabfc6dcb99e52872aed49ef21b23d551e577d0418fb03af62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff666f3547671d1b237fd995b96e6501210703ae6437835ee503c8b2b7ed46b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-26T10:40:05Z",
    "title_canon_sha256": "7ac70df358322630b44c6e85a044c6a0cf736841274da1772235b994ecf98172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08802",
    "kind": "arxiv",
    "version": 2
  }
}