Pith Number

pith:ONTFG2UP

pith:2017:ONTFG2UPFP4ZWJ75AGYLAMXLXQ

not attested not anchored not stored refs pending

A note on surjectivity of piecewise affine mappings

Manuel Radons

arxiv:1707.08786 v2 · 2017-07-27 · 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{ONTFG2UPFP4ZWJ75AGYLAMXLXQ}

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	2026-05-18T00:25:23.588545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7366536a8f2bf99b27fd01b0b032ebbc27e4ebe1ad6ad8b234d8d94dcdc1c019

Aliases

arxiv: 1707.08786 · arxiv_version: 1707.08786v2 · doi: 10.48550/arxiv.1707.08786 · pith_short_12: ONTFG2UPFP4Z · pith_short_16: ONTFG2UPFP4ZWJ75 · pith_short_8: ONTFG2UP

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/ONTFG2UPFP4ZWJ75AGYLAMXLXQ \
  | 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: 7366536a8f2bf99b27fd01b0b032ebbc27e4ebe1ad6ad8b234d8d94dcdc1c019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea59e6364ad96c24570b508d604b4751e3008b7d4c3026264d541daeb0e77e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-07-27T09:01:20Z",
    "title_canon_sha256": "c7cff9642e4c8d628fb83bb9064bb7ab12206a89f8c55c6ce95c006ade15176d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08786",
    "kind": "arxiv",
    "version": 2
  }
}