Pith Number

pith:SZ4LK67O

pith:2023:SZ4LK67ODO4UE3WVFAEHWKP4FW

not attested not anchored not stored refs pending

Reflexive symmetric differentials and quotients of bounded symmetric domains

Aryaman Patel

arxiv:2311.16814 v2 · 2023-11-28 · 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{SZ4LK67ODO4UE3WVFAEHWKP4FW}

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	2026-07-05T07:31:55.424348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9678b57bee1bb9426ed528087b29fc2db641f883f25de21c0d0e28b897df01b2

Aliases

arxiv: 2311.16814 · arxiv_version: 2311.16814v2 · doi: 10.48550/arxiv.2311.16814 · pith_short_12: SZ4LK67ODO4U · pith_short_16: SZ4LK67ODO4UE3WV · pith_short_8: SZ4LK67O

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/SZ4LK67ODO4UE3WVFAEHWKP4FW \
  | 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: 9678b57bee1bb9426ed528087b29fc2db641f883f25de21c0d0e28b897df01b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7eeb0fc31a3bce0f369e947f6494fb0d1b619c16ab5f93d976ce9c7b844abfd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-28T14:22:53Z",
    "title_canon_sha256": "470187d844d52cf56e8c9ca11f32929f9b0d856b45e69ef52ebe59e8a5a1f470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16814",
    "kind": "arxiv",
    "version": 2
  }
}