Pith Number

pith:P4HFFL3R

pith:2021:P4HFFL3RLKSPLN7FXZXWRZDZE3

not attested not anchored not stored refs pending

Adjoints and Canonical Forms of Polypols

Boris Shapiro, Felix Rydell, Kathl\'en Kohn, Kristian Ranestad, Miruna-Stefana Sorea, Ragni Piene, Rainer Sinn, Simon Telen

arxiv:2108.11747 v2 · 2021-08-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4HFFL3RLKSPLN7FXZXWRZDZE3}

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.

Cited by

1 paper in Pith

Arrangements of circles supported by small chords and compatible with natural real algebraic functions

Receipt and verification

First computed	2026-07-05T10:35:28.238954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0e52af715aa4f5b7e5be6f68e47926d4304ceaec0b4346e5f42026ef72f266

Aliases

arxiv: 2108.11747 · arxiv_version: 2108.11747v2 · doi: 10.48550/arxiv.2108.11747 · pith_short_12: P4HFFL3RLKSP · pith_short_16: P4HFFL3RLKSPLN7F · pith_short_8: P4HFFL3R

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/P4HFFL3RLKSPLN7FXZXWRZDZE3 \
  | 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: 7f0e52af715aa4f5b7e5be6f68e47926d4304ceaec0b4346e5f42026ef72f266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4099de347d255de6650c2ac599e6a0cba4e421e56c908d5a0d420bc6ec337f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-08-26T12:42:21Z",
    "title_canon_sha256": "8617f2fe9dafef05fc75ab7cf4a42ba98eb14cb96e7a5df3d32b2fd53722b350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11747",
    "kind": "arxiv",
    "version": 2
  }
}