Pith Number

pith:7B33IN3X

pith:2016:7B33IN3X4CDZ5N4UM25ISJGH5X

not attested not anchored not stored refs pending

Locally piecewise affine functions and their order structure

Samer Adeeb, Vladimir G. Troitsky

arxiv:1603.04897 v1 · 2016-03-15 · 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{7B33IN3X4CDZ5N4UM25ISJGH5X}

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	2026-05-18T01:18:59.739816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f877b43777e0879eb79466ba8924c7ede47644b23c472e3d5b598df7ff9eca05

Aliases

arxiv: 1603.04897 · arxiv_version: 1603.04897v1 · doi: 10.48550/arxiv.1603.04897 · pith_short_12: 7B33IN3X4CDZ · pith_short_16: 7B33IN3X4CDZ5N4U · pith_short_8: 7B33IN3X

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/7B33IN3X4CDZ5N4UM25ISJGH5X \
  | 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: f877b43777e0879eb79466ba8924c7ede47644b23c472e3d5b598df7ff9eca05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91bf88aab81b1642d599a406b4540ee1c14fdc1e91f99af73934957522352a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-15T21:55:51Z",
    "title_canon_sha256": "3cc5d5ab3febe9b765d14f6212bd30c5504b6bd1c09bd6915395bfe10c26ee6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04897",
    "kind": "arxiv",
    "version": 1
  }
}