Pith Number

pith:2NHDNKHZ

pith:2012:2NHDNKHZWFQD4T27LGDCGH4F44

not attested not anchored not stored refs pending

On the spectrum of deformations of compact double-sided flat hypersurfaces

Denis Borisov, Pedro Freitas

arxiv:1210.4088 v1 · 2012-10-15 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NHDNKHZWFQD4T27LGDCGH4F44}

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	2026-05-18T01:22:26.170407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34e36a8f9b1603e4f5f5986231f85e725379c99739189a531d2ba207be76ac1

Aliases

arxiv: 1210.4088 · arxiv_version: 1210.4088v1 · doi: 10.48550/arxiv.1210.4088 · pith_short_12: 2NHDNKHZWFQD · pith_short_16: 2NHDNKHZWFQD4T27 · pith_short_8: 2NHDNKHZ

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/2NHDNKHZWFQD4T27LGDCGH4F44 \
  | 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: d34e36a8f9b1603e4f5f5986231f85e725379c99739189a531d2ba207be76ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86542675000842e8142f8d280b3befb4d7d76e474cc0771a745007ee9ef156f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-15T16:08:54Z",
    "title_canon_sha256": "5f45c35d8a3a5daa9adce155c25852300dd2c93389e2886d9b76bc5157bfd70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4088",
    "kind": "arxiv",
    "version": 1
  }
}