Pith Number

pith:FKPGYX6G

pith:2016:FKPGYX6GD6YTTSUCM52BLNSHCC

not attested not anchored not stored refs pending

Synthesable differentiation-invariant subspaces

Anton Baranov, Yurii Belov

arxiv:1607.08392 v2 · 2016-07-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKPGYX6GD6YTTSUCM52BLNSHCC}

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	2026-05-18T00:19:42.729208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9e6c5fc61fb139ca82677415b647109a1155b86c60cc82765226f4489e539f

Aliases

arxiv: 1607.08392 · arxiv_version: 1607.08392v2 · doi: 10.48550/arxiv.1607.08392 · pith_short_12: FKPGYX6GD6YT · pith_short_16: FKPGYX6GD6YTTSUC · pith_short_8: FKPGYX6G

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/FKPGYX6GD6YTTSUCM52BLNSHCC \
  | 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: 2a9e6c5fc61fb139ca82677415b647109a1155b86c60cc82765226f4489e539f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f344e2e57f24efc2a8ca10f7adc7ae49883bd73d5c5f638ed155fbe78d9a97c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-28T10:21:35Z",
    "title_canon_sha256": "e27916974139f0510232b9b35f2bc6b7157dee0e356b85c60cdb1cfc2e17d484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08392",
    "kind": "arxiv",
    "version": 2
  }
}