Pith Number

pith:6CBZAXSH

pith:2017:6CBZAXSHUJVBIYFA5EW5MP3F7K

not attested not anchored not stored refs pending

There always is a variational source condition for nonlinear problems in Banach spaces

Jens Flemming

arxiv:1709.05809 v1 · 2017-09-18 · math.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CBZAXSHUJVBIYFA5EW5MP3F7K}

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	2026-05-18T00:34:59.327385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f083905e47a26a1460a0e92dd63f65faa89f27ec18778c7a7de3c9e65ad34eb9

Aliases

arxiv: 1709.05809 · arxiv_version: 1709.05809v1 · doi: 10.48550/arxiv.1709.05809 · pith_short_12: 6CBZAXSHUJVB · pith_short_16: 6CBZAXSHUJVBIYFA · pith_short_8: 6CBZAXSH

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/6CBZAXSHUJVBIYFA5EW5MP3F7K \
  | 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: f083905e47a26a1460a0e92dd63f65faa89f27ec18778c7a7de3c9e65ad34eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2430122063fb9a18dfe9727825d42c1b62cdf1c04a1aa1edf560eec83c4a82e9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-18T08:23:12Z",
    "title_canon_sha256": "6229a55e7a8bd9a0fb9c0040253d1ee38e0a088d1726adae4993b75f523caf7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05809",
    "kind": "arxiv",
    "version": 1
  }
}