Pith Number

pith:SHJFWO6J

pith:2026:SHJFWO6JDCD3GVMVGPYFBEFUQB

not attested not anchored not stored refs pending

Two fixed functions can approximate any continuous function using only addition and composition

Vugar Ismailov

arxiv:2605.26550 v1 · 2026-05-26 · 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{SHJFWO6JDCD3GVMVGPYFBEFUQB}

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	2026-05-27T01:05:25.962811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d25b3bc91887b3559533f05090b4804a1e067e6aeae5fc6ba5b166499c980c

Aliases

arxiv: 2605.26550 · arxiv_version: 2605.26550v1 · doi: 10.48550/arxiv.2605.26550 · pith_short_12: SHJFWO6JDCD3 · pith_short_16: SHJFWO6JDCD3GVMV · pith_short_8: SHJFWO6J

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/SHJFWO6JDCD3GVMVGPYFBEFUQB \
  | 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: 91d25b3bc91887b3559533f05090b4804a1e067e6aeae5fc6ba5b166499c980c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0854be81b4068e0638c33d860c71e16351fcb6c0940571c64dd83062df811910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-26T05:02:09Z",
    "title_canon_sha256": "4685c9e91f9293b2e22ddc63c3a7486d51b833c1dc6a993fd0c014bf14277967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26550",
    "kind": "arxiv",
    "version": 1
  }
}