Pith Number

pith:FOPBDRAA

pith:2020:FOPBDRAAHQXRLICXOZJCFNP5PT

not attested not anchored not stored refs pending

Hyperbolic Superspaces and Super-Riemann Surfaces

Runhong Zong, Zhi Hu

arxiv:2012.11961 v1 · 2020-12-22 · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOPBDRAAHQXRLICXOZJCFNP5PT}

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	2026-07-05T02:01:23.340632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b9e11c4003c2f15a057765222b5fd7ccb594e5ca83224f56d4d016a46a48db3

Aliases

arxiv: 2012.11961 · arxiv_version: 2012.11961v1 · doi: 10.48550/arxiv.2012.11961 · pith_short_12: FOPBDRAAHQXR · pith_short_16: FOPBDRAAHQXRLICX · pith_short_8: FOPBDRAA

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/FOPBDRAAHQXRLICXOZJCFNP5PT \
  | 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: 2b9e11c4003c2f15a057765222b5fd7ccb594e5ca83224f56d4d016a46a48db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc578726cce5590409fbc3d939cba12a258a1c323448e8052921ac03f27aa78c",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-12-22T12:31:28Z",
    "title_canon_sha256": "1b83f517fc914aa33521b0d6f0fa545ee3d12dc9b9de79232e7a11728f7b6988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11961",
    "kind": "arxiv",
    "version": 1
  }
}