Pith Number

pith:T4U37O6V

pith:2017:T4U37O6VMYVNS5NLUUSL3R2TS4

not attested not anchored not stored refs pending

Polarized relations on horizontal SL(2)s

Colleen Robles, Gregory Pearlstein, Matt Kerr

arxiv:1705.03117 v2 · 2017-05-08 · 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{T4U37O6VMYVNS5NLUUSL3R2TS4}

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	2026-05-17T23:40:21.020433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f29bfbbd5662ad975aba524bdc753971bd0d20bdadecdd232dabbcd2cc8e413

Aliases

arxiv: 1705.03117 · arxiv_version: 1705.03117v2 · doi: 10.48550/arxiv.1705.03117 · pith_short_12: T4U37O6VMYVN · pith_short_16: T4U37O6VMYVNS5NL · pith_short_8: T4U37O6V

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/T4U37O6VMYVNS5NLUUSL3R2TS4 \
  | 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: 9f29bfbbd5662ad975aba524bdc753971bd0d20bdadecdd232dabbcd2cc8e413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e89efa4e42e49f8f405f217c99be1c60f8fd1fd28b612cb0787c759847ee963",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-08T23:02:01Z",
    "title_canon_sha256": "7b0651137beb50783431c0794b70927f56619094c0245e8d46f3f1f26be398c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03117",
    "kind": "arxiv",
    "version": 2
  }
}