Pith Number

pith:C5M3D2FM

pith:2014:C5M3D2FMEWYBNMC6PTGMYNAIDH

not attested not anchored not stored refs pending

A new upper bound for the Dirac operator on hypersurfaces

Georges Habib, Nicolas Ginoux, Simon Raulot (LMRS)

arxiv:1402.1049 v1 · 2014-02-05 · math.DG · 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{C5M3D2FMEWYBNMC6PTGMYNAIDH}

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	2026-05-18T01:22:24.421300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1759b1e8ac25b016b05e7ccccc340819da4bdefb8f42192dba7125ce24fe5c36

Aliases

arxiv: 1402.1049 · arxiv_version: 1402.1049v1 · doi: 10.48550/arxiv.1402.1049 · pith_short_12: C5M3D2FMEWYB · pith_short_16: C5M3D2FMEWYBNMC6 · pith_short_8: C5M3D2FM

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/C5M3D2FMEWYBNMC6PTGMYNAIDH \
  | 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: 1759b1e8ac25b016b05e7ccccc340819da4bdefb8f42192dba7125ce24fe5c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d92c16e873feb8f5ed32719e0525210c57e71bbceaa9212ddf901d10ff1fc1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-05T14:22:59Z",
    "title_canon_sha256": "341b14007b872e3912cf6b478a89c7c214200dfd2c0b3f199277514209746621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1049",
    "kind": "arxiv",
    "version": 1
  }
}