Pith Number

pith:CPUM4DW2

pith:2018:CPUM4DW2B6XZWIGPZQA6E2PHVN

not attested not anchored not stored refs pending

Index theorems for uniformly elliptic operators

Alexander Engel

arxiv:1806.02035 v1 · 2018-06-06 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPUM4DW2B6XZWIGPZQA6E2PHVN}

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	2026-05-18T00:14:02.907157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e8ce0eda0faf9b20cfcc01e269e7ab6fae8a731aabf5fd04d34fca4ab0ec1f

Aliases

arxiv: 1806.02035 · arxiv_version: 1806.02035v1 · doi: 10.48550/arxiv.1806.02035 · pith_short_12: CPUM4DW2B6XZ · pith_short_16: CPUM4DW2B6XZWIGP · pith_short_8: CPUM4DW2

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/CPUM4DW2B6XZWIGPZQA6E2PHVN \
  | 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: 13e8ce0eda0faf9b20cfcc01e269e7ab6fae8a731aabf5fd04d34fca4ab0ec1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ccc4cc0f240b8f2b3409975f638dc19482e36004469188570fc88102ca1593",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-06T07:08:47Z",
    "title_canon_sha256": "248b741525391f84f99ce987acfc20b3e51bcdf44bd835956f1d7dff4658eb92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02035",
    "kind": "arxiv",
    "version": 1
  }
}