Pith Number

pith:HNRQI3JN

pith:2010:HNRQI3JNA4FRQWOK5AZX5PKQES

not attested not anchored not stored refs pending

Scalar Representation and Conjugation of Set-Valued Functions

Carola Schrage

arxiv:1011.5860 v4 · 2010-11-26 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNRQI3JNA4FRQWOK5AZX5PKQES}

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	2026-05-18T02:50:58.916678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b63046d2d070b1859cae8337ebd5024b2875f84747fa42bbda4f20656b602ef

Aliases

arxiv: 1011.5860 · arxiv_version: 1011.5860v4 · doi: 10.48550/arxiv.1011.5860 · pith_short_12: HNRQI3JNA4FR · pith_short_16: HNRQI3JNA4FRQWOK · pith_short_8: HNRQI3JN

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/HNRQI3JNA4FRQWOK5AZX5PKQES \
  | 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: 3b63046d2d070b1859cae8337ebd5024b2875f84747fa42bbda4f20656b602ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9321cb34af36c2a48e31949e4e1145c3298e3d84d077a552f0e2706c1deb5776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-26T19:04:30Z",
    "title_canon_sha256": "1179d996f844f5d6711544777558179b470765ccef16e8783512734d55530cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5860",
    "kind": "arxiv",
    "version": 4
  }
}