Pith Number

pith:HFZPDGHM

pith:2025:HFZPDGHMEHF32PKU4CDECVGH2G

not attested not anchored not stored refs pending

Equiaffine immersions and pseudo-Riemannian space forms

Nicholas Rungi

arxiv:2512.09569 v2 · 2025-12-10 · math.DG · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFZPDGHMEHF32PKU4CDECVGH2G}

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	2026-07-02T01:18:05.663745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3972f198ec21cbbd3d54e0864154c7d1a0a8666e8aef85c24afbf8807b6dc8d3

Aliases

arxiv: 2512.09569 · arxiv_version: 2512.09569v2 · doi: 10.48550/arxiv.2512.09569 · pith_short_12: HFZPDGHMEHF3 · pith_short_16: HFZPDGHMEHF32PKU · pith_short_8: HFZPDGHM

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/HFZPDGHMEHF32PKU4CDECVGH2G \
  | 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: 3972f198ec21cbbd3d54e0864154c7d1a0a8666e8aef85c24afbf8807b6dc8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75239fc6fdd1cc4d601d110052e1b028dfca575605d8666b2679b2238bf2aa4b",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-12-10T12:02:08Z",
    "title_canon_sha256": "c1349f28a42c0ce9de29230268c1ff62ce882e6fdc59b40607e37805e92c9e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.09569",
    "kind": "arxiv",
    "version": 2
  }
}