Pith Number

pith:ILYVFRZR

pith:2021:ILYVFRZRXOY62HIHRBIPJDGYJV

not attested not anchored not stored refs pending

Gevrey Asymptotic Implicit Function Theorem

Nikita Nikolaev

arxiv:2112.08792 v2 · 2021-12-16 · math.CV · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILYVFRZRXOY62HIHRBIPJDGYJV}

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.

Cited by

1 paper in Pith

Duck hunting with quantum mechanics

Receipt and verification

First computed	2026-07-05T03:42:06.828088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42f152c731bbb1ed1d078850f48cd84d62fb40ceb61ea918b1fe72226d806b2e

Aliases

arxiv: 2112.08792 · arxiv_version: 2112.08792v2 · doi: 10.48550/arxiv.2112.08792 · pith_short_12: ILYVFRZRXOY6 · pith_short_16: ILYVFRZRXOY62HIH · pith_short_8: ILYVFRZR

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/ILYVFRZRXOY62HIHRBIPJDGYJV \
  | 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: 42f152c731bbb1ed1d078850f48cd84d62fb40ceb61ea918b1fe72226d806b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02bd6031c3433b672e13e5504bd86c89d31a581dcaa14cb10807b481bd2a8f5",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-12-16T11:20:35Z",
    "title_canon_sha256": "7756f2547b856b8bbfd667e3e9a79d8cf34428e253924da5177859dd2083441c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08792",
    "kind": "arxiv",
    "version": 2
  }
}