Pith Number

pith:SWAI3QOD

pith:2016:SWAI3QODBJC3Y62NNZ37V6GJST

not attested not anchored not stored refs pending

An inclusion-exclusion identity for normal cones of polyhedral sets

Daniel Hug, Zakhar Kabluchko

arxiv:1612.07915 v2 · 2016-12-23 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWAI3QODBJC3Y62NNZ37V6GJST}

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	2026-05-18T00:23:40.361116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95808dc1c30a45bc7b4d6e77faf8c994c99397ee9143f176647c6ccee802807b

Aliases

arxiv: 1612.07915 · arxiv_version: 1612.07915v2 · doi: 10.48550/arxiv.1612.07915 · pith_short_12: SWAI3QODBJC3 · pith_short_16: SWAI3QODBJC3Y62N · pith_short_8: SWAI3QOD

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/SWAI3QODBJC3Y62NNZ37V6GJST \
  | 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: 95808dc1c30a45bc7b4d6e77faf8c994c99397ee9143f176647c6ccee802807b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae161f52b37e94a382e1bb8f31db06e3dcd2a52ead1fd53659e0269e8806cb05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-23T09:40:59Z",
    "title_canon_sha256": "ae49f81fdedde0cf5cd97f5c9d3e9aec7d1f0626908307cde2a820d56ff05ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07915",
    "kind": "arxiv",
    "version": 2
  }
}