Pith Number

pith:OR7VIS6V

pith:2019:OR7VIS6VNG5UPJ2XWIC73EL4YJ

not attested not anchored not stored refs pending

The relative Mishchenko--Fomenko higher index and almost flat bundles II: Almost flat index pairing

Yosuke Kubota

arxiv:1908.10733 v1 · 2019-08-28 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OR7VIS6VNG5UPJ2XWIC73EL4YJ}

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	2026-07-05T00:00:20.749809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747f544bd569bb47a757b205fd917cc2783374820386ebd2bdd3f08a8bab72d0

Aliases

arxiv: 1908.10733 · arxiv_version: 1908.10733v1 · doi: 10.48550/arxiv.1908.10733 · pith_short_12: OR7VIS6VNG5U · pith_short_16: OR7VIS6VNG5UPJ2X · pith_short_8: OR7VIS6V

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/OR7VIS6VNG5UPJ2XWIC73EL4YJ \
  | 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: 747f544bd569bb47a757b205fd917cc2783374820386ebd2bdd3f08a8bab72d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc51f76aab3b32bd8ce34744fdfa97fd03632aa4cb141d51e23002cf0f5eb140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-08-28T14:04:31Z",
    "title_canon_sha256": "aaabb7f8dbca78e999303418493832c865f0cd675aaf74086e0bf1d5911a4a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10733",
    "kind": "arxiv",
    "version": 1
  }
}