Pith Number

pith:N25CJT6G

pith:2015:N25CJT6GKIQAUDCHDBEBTZGA55

not attested not anchored not stored refs pending

An implicit function theorem for non-smooth maps between Fr\'echet spaces

Eric S\'er\'e (CEREMADE, Ivar Ekeland, Universit\'e Paris-Dauphine)

arxiv:1502.01561 v1 · 2015-02-05 · 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{N25CJT6GKIQAUDCHDBEBTZGA55}

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	2026-05-18T02:27:51.766782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eba24cfc652200a0c47184819e4c0ef624127f1e91dce75c2a6661c08d20c4a

Aliases

arxiv: 1502.01561 · arxiv_version: 1502.01561v1 · doi: 10.48550/arxiv.1502.01561 · pith_short_12: N25CJT6GKIQA · pith_short_16: N25CJT6GKIQAUDCH · pith_short_8: N25CJT6G

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/N25CJT6GKIQAUDCHDBEBTZGA55 \
  | 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: 6eba24cfc652200a0c47184819e4c0ef624127f1e91dce75c2a6661c08d20c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0444f86d178fed3b3be4fa4fb61cbe8ea700270425e5a99512235f794f52be3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-05T14:14:55Z",
    "title_canon_sha256": "58833d46a4f35e5b5fdd6f546add2ecd25f6180754ab98625f0433bc0ee38c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01561",
    "kind": "arxiv",
    "version": 1
  }
}