Pith Number

pith:BR4QVIF4

pith:2014:BR4QVIF42H73OJYC7MPIN7SA6Q

not attested not anchored not stored refs pending

Existence of HKT metrics on hypercomplex manifolds of real dimension 8

Gueo Grantcharov, Mehdi Lejmi, Misha Verbitsky

arxiv:1409.3280 v1 · 2014-09-11 · math.DG · 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{BR4QVIF42H73OJYC7MPIN7SA6Q}

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	2026-05-18T00:14:01.689708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c790aa0bcd1ffb72702fb1e86fe40f412d7316ec3ea713b9b90b76855df7587

Aliases

arxiv: 1409.3280 · arxiv_version: 1409.3280v1 · doi: 10.48550/arxiv.1409.3280 · pith_short_12: BR4QVIF42H73 · pith_short_16: BR4QVIF42H73OJYC · pith_short_8: BR4QVIF4

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/BR4QVIF42H73OJYC7MPIN7SA6Q \
  | 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: 0c790aa0bcd1ffb72702fb1e86fe40f412d7316ec3ea713b9b90b76855df7587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d93d5d355ecdea430f208735da7fe29b7e85ad31e485bce9d80219ba71b33b2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-11T00:14:45Z",
    "title_canon_sha256": "3f7116902da34aaff741f4bac446d997f302c1cfc9e2f6a71aebf49d3b49968c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3280",
    "kind": "arxiv",
    "version": 1
  }
}