Pith Number

pith:DVIX6KZU

pith:2020:DVIX6KZUKDZLQSEWDL3UUWL3ML

not attested not anchored not stored refs pending

Towards optimization techniques on diffeological spaces by generalizing Riemannian concepts

Kathrin Welker, Nico Goldammer

arxiv:2009.04262 v2 · 2020-09-09 · math.OC · 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{DVIX6KZUKDZLQSEWDL3UUWL3ML}

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	2026-07-05T02:59:04.020366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d517f2b3450f2b848961af74a597b62e90e65f837a833edc960c494067882d6

Aliases

arxiv: 2009.04262 · arxiv_version: 2009.04262v2 · doi: 10.48550/arxiv.2009.04262 · pith_short_12: DVIX6KZUKDZL · pith_short_16: DVIX6KZUKDZLQSEW · pith_short_8: DVIX6KZU

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/DVIX6KZUKDZLQSEWDL3UUWL3ML \
  | 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: 1d517f2b3450f2b848961af74a597b62e90e65f837a833edc960c494067882d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756a258c4991951fa81176808e7f2aa4829c2821b846ea0e94b647d72f76f25a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-09-09T12:28:09Z",
    "title_canon_sha256": "ec55f3f29d6dc7e2029b09d6d9d438a67b232a4e56254e661bafdf7a96d94a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04262",
    "kind": "arxiv",
    "version": 2
  }
}