Pith Number

pith:O2J4UZTO

pith:2017:O2J4UZTOXDPZESVD5FWU4FAB64

not attested not anchored not stored refs pending

About the Eta-Invariants of Berger Spheres

Gregor Weingart

arxiv:1707.06376 v1 · 2017-07-20 · 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{O2J4UZTOXDPZESVD5FWU4FAB64}

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	2026-05-18T00:39:53.958667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7693ca666eb8df924aa3e96d4e1401f7218fec02d06a7309db08636dd51db28b

Aliases

arxiv: 1707.06376 · arxiv_version: 1707.06376v1 · doi: 10.48550/arxiv.1707.06376 · pith_short_12: O2J4UZTOXDPZ · pith_short_16: O2J4UZTOXDPZESVD · pith_short_8: O2J4UZTO

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/O2J4UZTOXDPZESVD5FWU4FAB64 \
  | 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: 7693ca666eb8df924aa3e96d4e1401f7218fec02d06a7309db08636dd51db28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "708d765be33edc1c51aff2dcb4cb73be99021f9a82527c7a3cd0fce53cc49cbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-20T05:08:27Z",
    "title_canon_sha256": "5647cb9aa5f971f0f8fb793e68cc595d65f30bf2c8233f4f07eb35dcaf68e119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06376",
    "kind": "arxiv",
    "version": 1
  }
}