Pith Number

pith:KH4MQKY7

pith:2013:KH4MQKY74VKSNJO5NQIN2WINPK

not attested not anchored not stored refs pending

A strong version of implicit function theorem

Dmitry Kerner, Genrich Belitskii

arxiv:1311.0088 v3 · 2013-11-01 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH4MQKY74VKSNJO5NQIN2WINPK}

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	2026-05-18T01:17:53.485352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f8c82b1fe55526a5dd6c10dd590d7a8ba8f859fb0555d6b3aad79f75ec8cf7

Aliases

arxiv: 1311.0088 · arxiv_version: 1311.0088v3 · doi: 10.48550/arxiv.1311.0088 · pith_short_12: KH4MQKY74VKS · pith_short_16: KH4MQKY74VKSNJO5 · pith_short_8: KH4MQKY7

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/KH4MQKY74VKSNJO5NQIN2WINPK \
  | 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: 51f8c82b1fe55526a5dd6c10dd590d7a8ba8f859fb0555d6b3aad79f75ec8cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3ac73328d4437f0cd4d2b66bb01e2342e53aa827eab11da6126eae8cfbaf31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-11-01T05:05:44Z",
    "title_canon_sha256": "596403d60d7d5b52ba65afd3e6a7c356ea9b7a7d6b010deb77f8a001c08030d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0088",
    "kind": "arxiv",
    "version": 3
  }
}