Pith Number

pith:PC47AO43

pith:2016:PC47AO434ISAZHUQXQXGRGQLVP

not attested not anchored not stored refs pending

Faithful Actions from Hyperplane Arrangements

Michael Wemyss, Yuki Hirano

arxiv:1612.02582 v3 · 2016-12-08 · math.AG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC47AO434ISAZHUQXQXGRGQLVP}

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	2026-05-18T00:04:17.916530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b9f03b9be2240c9e90bc2e689a0babc1391368d6033b45c20ce1bdccfcc48c

Aliases

arxiv: 1612.02582 · arxiv_version: 1612.02582v3 · doi: 10.48550/arxiv.1612.02582 · pith_short_12: PC47AO434ISA · pith_short_16: PC47AO434ISAZHUQ · pith_short_8: PC47AO43

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/PC47AO434ISAZHUQXQXGRGQLVP \
  | 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: 78b9f03b9be2240c9e90bc2e689a0babc1391368d6033b45c20ce1bdccfcc48c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d125551c7b60e321b5d1954849306e95d33d7288b49a0d4b5175be7fe82dd1f0",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-08T10:01:42Z",
    "title_canon_sha256": "09959d8866626b7c528a1c60f300b2f356253b9f3f14932685ca295b335ad5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02582",
    "kind": "arxiv",
    "version": 3
  }
}