Pith Number

pith:KJYD2TK2

pith:2013:KJYD2TK2LHHER5QHI6CDCJEARH

not attested not anchored not stored refs pending

The Polar Cone of the set of monotone maps

Fabio Cavalletti, Michael Westdickenberg

arxiv:1305.2692 v2 · 2013-05-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJYD2TK2LHHER5QHI6CDCJEARH}

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	2026-05-18T03:15:43.152472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52703d4d5a59ce48f607478431248089fcefdf4b35115be42acbd5378b6c0f51

Aliases

arxiv: 1305.2692 · arxiv_version: 1305.2692v2 · doi: 10.48550/arxiv.1305.2692 · pith_short_12: KJYD2TK2LHHE · pith_short_16: KJYD2TK2LHHER5QH · pith_short_8: KJYD2TK2

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/KJYD2TK2LHHER5QHI6CDCJEARH \
  | 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: 52703d4d5a59ce48f607478431248089fcefdf4b35115be42acbd5378b6c0f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d6d0e5a31cb275817947dea6361e617603e953cd15ed306998016d97dac572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-13T07:18:01Z",
    "title_canon_sha256": "1f7a9402327eff764f39539f300f61bb46b4a3775eb511b9dedda7adfc9f5af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2692",
    "kind": "arxiv",
    "version": 2
  }
}